Given the Points (0,4) and (3,2) answer the following:
a. what is the equation of the line that goes through these points in
Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?

Respuesta :

Answer:

a. y = -2/3(x) + 4

B. 2

C. 4

Step-by-step explanation:

The gradient, m = (2-4)/(3-0) = -2/3

A. To find the equation of the line we use:

y - y1 = m(x - x1).

We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.

We will pic points (0, 4)

Substitute it in the equation.

=> y - 4 = (-2/3) (x - 1)

cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.

=> y = (-2/3)x +4..

(ps: this x is a variable)

B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line

C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line