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