Finding the equation of a line perpendicular to a given line passing through a given point
Find the equation of the line perpendicular to
The first step is to write the equation in slope-intercept form.
We see that the slope is
This means that the slope of the line perpendicular to the given line is the negative reciprocal, or
Next, we use the point-slope formula with this new slope and the given point.
We can solve linear equations in one variable in the form
using standard algebraic properties. See
[link] and
[link].
A rational expression is a quotient of two polynomials. We use the LCD to clear the fractions from an equation. See
[link] and
[link].
All solutions to a rational equation should be verified within the original equation to avoid an undefined term, or zero in the denominator. See
[link] and
[link].
Given two points, we can find the slope of a line using the slope formula. See
[link] .
We can identify the slope and
y -intercept of an equation in slope-intercept form. See
[link].
We can find the equation of a line given the slope and a point. See
[link].
We can also find the equation of a line given two points. Find the slope and use the point-slope formula. See
[link].
The standard form of a line has no fractions. See
[link] .
Horizontal lines have a slope of zero and are defined as
where
c is a constant.
Vertical lines have an undefined slope (zero in the denominator), and are defined as
where
c is a constant. See
[link].
Parallel lines have the same slope and different
y- intercepts. See
[link] .
Perpendicular lines have slopes that are negative reciprocals of each other unless one is horizontal and the other is vertical. See
[link] .
Section exercises
Verbal
What does it mean when we say that two lines are parallel?
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
When MP₁ becomes negative, TP start to decline.
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 •
Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Economic growth as an increase in the production and consumption of goods and services within an economy.but
Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has
The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50.
A,Calculate quantities of x and y which maximize utility.
B,Calculate value of Lagrange multiplier.
C,Calculate quantities of X and Y consumed with a given price.
D,alculate optimum level of output .
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
