Question

What is an equation of the line that passes through the points (4,-2) and (8,3)?​

Answer 1

The equation of the line (4,-2) and (8,3) is Y=5/4x-7

Answer 2

`y-4=(5)/(4) (x+2)`

Explanation:

First you can find the slope of the line that would pass through those two points using the formula:

m =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

m =
`(3-(-2))/(8-4)`

m=5/4

Now you can just plug the slope and one of the points into point-slope form for an equation of the line that will pass through both points. You can choose either point here: I'll just use the first one.

So,

`y-4=(5)/(4) (x+2)`

(don't leave out the parentheses!)