Question

How do you write an equation in slope-intercept form for a line with points (4,7) and (8,9)?

Answer 1

`y=1/2x+5`

Explanation:

slope intercept form is `y=mx+c`
Start off by finding the slope `m`
The formula for finding `m` is `m=(y_1-y_2)/(x_1-x_2)`
So `m=(9-7)/(8-4)`
`m=2/4=1/2`
Now you have `y=1/2x+c`
Substitute any one of those points. I am going with `(4, 7)`
So you have `7=1/2(4)+c`
`7=2+c`
`c=5`
So your equation is `y=1/2x+5`