Question

How do you write an equation in slope-intercept form of the line that passes through the points (-3,3) and (1,2)?

Answer 1

`y=-1/4x+9/4`
The answer is written in slope-intercept form i.e. `y=mx+c`

Explanation:

`(x1,y1)=-(3,3)`
`(x2,y2)=(1,2)`
using equation two point slope-intercept form`y-y1=(y2-y1)/(x2-x1)(x-x1)`
`(y-3)=(2-3)/(1+3)(x+3)`
`y-3=-1/4(x+3)`
`4(y-3)=-1(x+3)`
`4y-12=-x-3`
`4y=-x+9`
`y=-1/4x+9/4`