Question

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

Answer 1

Answer:

$y-4=\frac{5}{4} (x+2)$

Step-by-step explanation:

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

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

m = $\frac{3-(-2)}{8-4}$

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,

$y-4=\frac{5}{4} (x+2)$

(don't leave out the parentheses!)

Answer 2

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