The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative 3 x is plotted as an arrow extending from the top left toward the bottom right.

Got questions? Get instant answers now!

$y = \frac{1}{2} x + 3$

Got questions? Get instant answers now!

$x - y = 6$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line x minus y equals 6 is plotted as an arrow extending from the bottom left toward the top right.

Got questions? Get instant answers now!

$2 x + y = 7$

Got questions? Get instant answers now!

$3 x - 2 y = 6$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line 3 x minus 2 y equals 6 is plotted as an arrow extending from the bottom left toward the top right.

Got questions? Get instant answers now!

Graph Vertical and Horizontal lines

In the following exercises, graph each equation.

$y = −2$

Got questions? Get instant answers now!

$x = 3$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line x equals 3 is plotted as a vertical line.

Got questions? Get instant answers now!

In the following exercises, graph each pair of equations in the same rectangular coordinate system.

$y = −2 x$ and $y = −2$

Got questions? Get instant answers now!

$y = \frac{4}{3} x$ and $y = \frac{4}{3}$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals four-thirds x is plotted as an arrow extending from the bottom left toward the top right. The line y equals four-thirds is plotted as a horizontal line.

Got questions? Get instant answers now!

Graphing with Intercepts

Identify the x - and y -Intercepts on a Graph

In the following exercises, find the x - and y -intercepts.

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 4, 0) and (0, 4) is plotted.

Got questions? Get instant answers now!

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (3, 0) and (0, 3) is plotted.

$(3, 0), (0, 3)$

Got questions? Get instant answers now!

Find the x - and y -Intercepts from an Equation of a Line

In the following exercises, find the intercepts of each equation.

$x + y = 5$

Got questions? Get instant answers now!

$x - y = −1$

$(−1, 0), (0, 1)$

Got questions? Get instant answers now!

$x + 2 y = 6$

Got questions? Get instant answers now!

$2 x + 3 y = 12$

$(6, 0), (0, 4)$

Got questions? Get instant answers now!

$y = \frac{3}{4} x - 12$

Got questions? Get instant answers now!

$y = 3 x$

$(0, 0)$

Got questions? Get instant answers now!

Graph a Line Using the Intercepts

In the following exercises, graph using the intercepts.

$− x + 3 y = 3$

Got questions? Get instant answers now!

$x + y = −2$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line x plus y equals negative 2 is plotted as an arrow extending from the top left toward the bottom right.

Got questions? Get instant answers now!

$x - y = 4$

Got questions? Get instant answers now!

$2 x - y = 5$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line 2 x minus y equals 5 is plotted as an arrow extending from the bottom left toward the top right.

Got questions? Get instant answers now!

$2 x - 4 y = 8$

Got questions? Get instant answers now!

$y = 2 x$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals 2 x is plotted as an arrow extending from the bottom left toward the top right.

Got questions? Get instant answers now!

Slope of a Line

Use Geoboards to Model Slope

In the following exercises, find the slope modeled on each geoboard.

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 4 and the point in column 4 row 2.

Got questions? Get instant answers now!

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 5 and the point in column 4 row 1.

$\frac{4}{3}$

Got questions? Get instant answers now!

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 3 and the point in column 4 row 4.

Got questions? Get instant answers now!

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 2 and the point in column 4 row 4.

$- \frac{2}{3}$

Got questions? Get instant answers now!

In the following exercises, model each slope. Draw a picture to show your results.

$\frac{1}{3}$

Got questions? Get instant answers now!

$\frac{3}{2}$

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 5 and the point in column 3 row 2.

Got questions? Get instant answers now!

$- \frac{2}{3}$

Got questions? Get instant answers now!

$- \frac{1}{2}$

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 2 row 2 and the point in column 3 row 3.

Got questions? Get instant answers now!

Use $m = \frac{rise}{run}$ to find the Slope of a Line from its Graph

In the following exercises, find the slope of each line shown.

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 1, 3), (0, 0), and (1, negative 3) is plotted.

Got questions? Get instant answers now!

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 3, 6) and (5, 2) is plotted.

$- \frac{1}{2}$

Got questions? Get instant answers now!

Find the Slope of Horizontal and Vertical Lines

In the following exercises, find the slope of each line.

$y = 2$

Got questions? Get instant answers now!

$x = 5$

undefined

Got questions? Get instant answers now!

$x = −3$

Got questions? Get instant answers now!

$y = −1$

Got questions? Get instant answers now!

Use the Slope Formula to find the Slope of a Line between Two Points

In the following exercises, use the slope formula to find the slope of the line between each pair of points.

$(−1, −1), (0, 5)$

Got questions? Get instant answers now!

$(3, 5), (4, −1)$

$−6$

Got questions? Get instant answers now!

$(−5, −2), (3, 2)$

Got questions? Get instant answers now!

$(2, 1), (4, 6)$

$\frac{5}{2}$

Got questions? Get instant answers now!

Graph a Line Given a Point and the Slope

In the following exercises, graph each line with the given point and slope.

$(2, −2)$ ; $m = \frac{5}{2}$

Got questions? Get instant answers now!

$(−3, 4)$ ; $m = - \frac{1}{3}$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 3, 4) and (0, 3) is plotted.

Got questions? Get instant answers now!

x -intercept $−4$ ; $m = 3$

Got questions? Get instant answers now!

y -intercept 1; $m = - \frac{3}{4}$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (0, 1) and (4, negative 2) is plotted.

Got questions? Get instant answers now!

Solve Slope Applications

In the following exercises, solve these slope applications.

The roof pictured below has a rise of 10 feet and a run of 15 feet. What is its slope?

The figure shows a person on a ladder using a hammer on the roof of a building.

Got questions? Get instant answers now!

A mountain road rises 50 feet for a 500-foot run. What is its slope?

$\frac{1}{10}$

Got questions? Get instant answers now!

Intercept Form of an Equation of a Line

Recognize the Relation Between the Graph and the Slope–Intercept Form of an Equation of a Line

In the following exercises, use the graph to find the slope and y -intercept of each line. Compare the values to the equation $y = m x + b$ .

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals 4 x minus 1 is plotted from the lower left to the top right.

$y = 4 x - 1$

Got questions? Get instant answers now!

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals two-thirds x plus 4 is plotted from the top left to the bottom right.

$y = - \frac{2}{3} x + 4$

slope $m = - \frac{2}{3}$ and y -intercept $(0, 4)$

Got questions? Get instant answers now!

Identify the Slope and y-Intercept from an Equation of a Line

In the following exercises, identify the slope and y -intercept of each line.

$y = −4 x + 9$

Got questions? Get instant answers now!

$y = \frac{5}{3} x - 6$

$\frac{5}{3}; (0, −6)$

Got questions? Get instant answers now!

$5 x + y = 10$

Got questions? Get instant answers now!

$4 x - 5 y = 8$

$\frac{4}{5}; (0, - \frac{8}{5})$

Got questions? Get instant answers now!

Graph a Line Using Its Slope and Intercept

In the following exercises, graph the line of each equation using its slope and y -intercept.

$y = 2 x + 3$

Got questions? Get instant answers now!

$y = − x - 1$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative x minus 1 is plotted from the top left to the bottom right.

Got questions? Get instant answers now!

$y = - \frac{2}{5} x + 3$

Got questions? Get instant answers now!

$4 x - 3 y = 12$

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line 4 x minus 3 y equals 12 is plotted from the bottom left to the top right.

Got questions? Get instant answers now!

In the following exercises, determine the most convenient method to graph each line.

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?

Aislinn Reply

tijani

what is titration

John Reply

what is physics

Siyaka Reply

A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance

Jude Reply

Can you compute that for me. Ty

Jude

what is the dimension formula of energy?

David Reply

what is viscosity?

David

what is inorganic

emma Reply

what is chemistry

Youesf Reply

what is inorganic

emma

Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes

Adjei

please, I'm a physics student and I need help in physics

Adjanou

chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.

Pedro

A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity

Krampah Reply

2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.

Sahid Reply

you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s

Samuel Reply

can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?

Joseph Reply

Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time

Joseph

Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing

Joseph

"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true

Ryan

what's motion

Maurice Reply

what are the types of wave

Maurice

answer

Magreth

progressive wave

Magreth

hello friend how are you

Muhammad Reply

fine, how about you?

Mohammed

Mujahid

A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?

yasuo Reply

Who can show me the full solution in this problem?

Reofrir Reply

Got questions? Join the online conversation and get instant answers!

Jobilize.com Reply

<< Chapter < Page Page > Chapter >>

Practice Key Terms 3

Read also:

Get Jobilize Job Search Mobile App in your pocket Now!

100% Free Mobile Applications
Receive real-time job alerts and never miss the right job again

Source: OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2

Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Elementary algebra' conversation and receive update notifications?

Ask

	Are you a 5sos fan? By Rylee Minllic Start Quiz
	College physics By OpenStax Read Online Course
	3 Week 3 Social Psych By Yacoub Jayoghli Start Quiz
	9 Physiotherapy Modalities By Rhodes Start Exam
©flickr:	Dairy Cattle Evaluation Exam By Katy Keilers Start Exam
	English Proficiency Test By Anindyo Mukhopadhyay Start Quiz
	Measurement Experimentation Lab MCQ By Steve Gibbs Start Quiz
	28 AP 28 Development Inheritance Essay By OpenStax Start Flashcards
	Understanding basic music theory By OpenStax Read Online Course
	8 BOD- Cardio Quiz By Brooke Delaney Start Exam