What is the slope of the line that passes through the points 10,8 and 7,14 Write your answer in simplest form.

Answer 1

To find the slope of the line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

Plug in the coordinates of the two points you have, (10, 8) and (7, 14), into the formula:

\[
m = \frac{14 - 8}{7 - 10}
\]

Simplify the expression:

\[
m = \frac{6}{-3}
\]

The slope is then:

\[
m = -2
\]

So the slope of the line in simplest form is -2.