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=(y_2-y_1)/(x_2-x_1)`

b - y-intercept

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

Substitute:

`m=(-1-2)/(4-0)=(-3)/(4)=-(3)/(4)`

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

Answer:
`y=-(3)/(4)x+2`