Question

What is the slope of the line that passes through the points (-10, 8) and

Answer 1

Answer:

$slope=3$

Step-by-step explanation:

Use the following equation the find the slope:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope". Insert the known values:

$(-10_{x1},8_{y1})\\\\(-15_{x2},-7_{y2})\\\\\\\frac{-7-8}{-15-(-10)}\\\\\frac{-7-8}{-15+10}$

Solve:

$\frac{-7-8}{-15+10}=\frac{-15}{-5}$

Simplify. Two negatives make a positive:

$\frac{-15}{-5}=\frac{15}{5}$

Simplify fraction by dividing top and bottom by 5:

$\frac{15}{5}=\frac{3}{1} =3$

The slope is 3.

:Done