Question

What’s the slope intercept equation that passes through the points (0,2) and (4,-1)

Answer 1

The slop-intercept form:

$y=mx+b$

m - slope

$m=\dfrac{y_2-y_1}{x_2-x_1}$

b - y-intercept

We have (0, 2) and (4, -1).

Substitute:

$m=\dfrac{-1-2}{4-0}=\dfrac{-3}{4}=-\dfrac{3}{4}$

(0, 2) → y = 2 is y-intercept. Therefore b = 2.

Answer:  $y=-\dfrac{3}{4}x+2$