Question

What is the slope of the line graphed on the coordinate plane?

Answer 1

The slope of a line running through points (-2,3) and (2,6) would be 3/4.

Answer 2

Answer

The slope of the line running through coordinates (-2, 3) and coordinates (2, 6) is $\frac{3}{4}$

Explanation

To get the slope of our line, we are going to use the slope formula:

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

where

$m$ is the slope of the line

$(x_{1},y_{1})$ are the coordinates of the first point on the line

$(x_{2},y_{2})$ are the coordinates of the second point

We know that our first point is (-2, 3), so  $x_{1}=-2$  and  $y_{1}=3$.  We also know that our second point is (2, 6), so  $x_{2}=2$  and  $y_{2}=6$.  Now let's replace the values in our slope formula:

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

$m=\frac{6-3}{2-(-2)}$

$m=\frac{3}{2+2}$

$m=\frac{3}{4}$

We can conclude that the slope of our line is $\frac{3}{4}$.