Question

Write an equation of the line in slope-intercept form: A(-1,3) and b(2,-1)

Answer 1

Answer: y =
`(-4)/(3)`x +
`(5)/(3)`

Explanation:

First we will find the slope, then we will find the y-intercept.

Slope is change in y over change in x:

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

Now we will solve for the y-intercept:

y =
`(-4)/(3)`x + b

(-1) =
`(-4)/(3)`(2) + b

-1 =
`(-8)/(3)` + b

`(5)/(3)` = b

b =
`(5)/(3)`

Final equation:

y =
`(-4)/(3)`x +
`(5)/(3)`