Q:

Find the slope of the line that passes through the points (-2,3) and (2,7)

Accepted Solution

A:
Answer:[tex]\large\boxed{\frac{1}{1}\,\text{or}\,1}[/tex]Step-by-step explanation:In this question, we're trying to find the slope with the given points.To find the slope, we're going to need to sue the slope formula.Slope formula:[tex]\text{Slope}=\frac{y2-y1}{x2-x1}[/tex]You would plug in the coordinates to its right spot.Plug in -2 to x1, 3 in y1, 2 in x2, and 7 in y2.Your equation should look like this:[tex]\text{Slope}=\frac{7-3}{2-(-2)}[/tex]Now, you will solve:[tex]\text{Slope}=\frac{7-3}{2-(-2)}\\\\\text{Slope}=\frac{4}{2-(-2)}\\\\\text{Carry the minus sign over to the -2, turning it to a positive 2}\\\\\text{Slope}=\frac{4}{2+2}\\\\\text{Slope}=\frac{4}{4}\\\\\text{Divide}\\\\\text{Slope}=\frac{1}{1}=1[/tex]When you're done solving, you should get 1.This means that the slope of the line is 1/1 or 1I hope this helped you out.Good luck on your academics.Have a fantastic day!