Question

7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?​

Answer 1

Answer:

slope =$-\frac{2}{3}$

Step-by-step explanation:

Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ to find the slope, or $m$. The $x_1$ and $y_1$ represent the x and y values of one point, and the $x_2$ and $y_2$ represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:

$m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}$

Thus, the slope is $-\frac{2}{3}$.