11.2 Graphing linear equations  (Page 4/6)

$y=x+2$

1. $(0,2)$
2. $(1,2)$
3. $(-1,1)$
4. $(-3,1)$

$y=x-4$

1. $(0,-4)$
2. $(3,-1)$
3. $(2,2)$
4. $(1,-5)$

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

1. $(0,-3)$
2. $(2,-2)$
3. $(-2,-4)$
4. $(4,1)$

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

1. $(0,2)$
2. $(3,3)$
3. $(-3,2)$
4. $(-6,0)$

$y=3x-1$

$y=2x+3$

$y=\mathrm{-2}x+2$

$y=\mathrm{-3}x+1$

$y=x+2$

$y=x-3$

$y=-x-3$

$y=-x-2$

$y=2x$

$y=3x$

$y=\mathrm{-4}x$

$y=\mathrm{-2}x$

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

$y=\frac{1}{3}x-1$

$y=\frac{4}{3}x-5$

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

$y=-\frac{2}{5}x+1$

$y=-\frac{4}{5}x-1$

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

$y=-\frac{5}{3}x+4$

$x+y=6$

$x+y=4$

$x+y=\mathrm{-3}$

$x+y=\mathrm{-2}$

$x-y=2$

$x-y=1$

$x-y=\mathrm{-1}$

$x-y=\mathrm{-3}$

$-x+y=4$

$-x+y=3$

$-x-y=5$

$-x-y=1$

$3x+y=7$

$5x+y=6$

$2x+y=\mathrm{-3}$

$4x+y=\mathrm{-5}$

$2x+3y=12$

$3x-4y=12$

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

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

$x=4$

$x=3$

$x=\mathrm{-2}$

$x=\mathrm{-5}$

$y=3$

$y=1$

$y=\mathrm{-5}$

$y=\mathrm{-2}$

$x=\frac{7}{3}$

$x=\frac{5}{4}$

$y=-\frac{1}{2}x$ and $y=-\frac{1}{2}$

$y=-\frac{1}{3}x$ and $y=-\frac{1}{3}$

$y=2x$ and $y=2$

$y=5x$ and $y=5$

$y=4x$

$y=2x$

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

$y=\frac{1}{4}x-2$

$y=-x$

$y=x$

$x-y=3$

$x+y=-5$

$4x+y=2$

$2x+y=6$

$y=\mathrm{-1}$

$y=5$

$2x+6y=12$

$5x+2y=10$

$x=3$

$x=\mathrm{-4}$

Motor home cost The Robinsons rented a motor home for one week to go on vacation. It cost them $\text{\$594}$ plus $\text{\$0.32}$ per mile to rent the motor home, so the linear equation $y=594+0.32x$ gives the cost, $y,$ for driving $x$ miles. Calculate the rental cost for driving $400,800,\text{and}\mathrm{1,200}$ miles, and then graph the line.

Weekly earning At the art gallery where he works, Salvador gets paid $\text{\$200}$ per week plus $\text{15\%}$ of the sales he makes, so the equation $y=200+0.15x$ gives the amount $y$ he earns for selling $x$ dollars of artwork. Calculate the amount Salvador earns for selling $\text{\$900, \$1,600},\text{and}\text{\$2,000},$ and then graph the line.

Explain how you would choose three $x\text{-values}$ to make a table to graph the line $y=\frac{1}{5}x-2.$

What is the difference between the equations of a vertical and a horizontal line?