Answer:
[tex]y-4=\frac{5}{4} (x+2)[/tex]
Step-by-step explanation:
First you can find the slope of the line that would pass through those two points using the formula:
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{3-(-2)}{8-4}[/tex]
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,
[tex]y-4=\frac{5}{4} (x+2)[/tex]
(don't leave out the parentheses!)
