Question

what is the slope of the line through (2, -2) and (9, 3)? choose 1 answer: a \\(\frac{5}{7}\\) b \\(-\frac{7}{5}\\) c \\(-\frac{5}{7}\\) d \\(\frac{7}{5}\\)

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign point values

Let $(x_1,y_1)=(2,-2)$ and $(x_2,y_2)=(9,3)$

Step3: Substitute into formula

$m=\frac{3-(-2)}{9-2}=\frac{3+2}{7}=\frac{5}{7}$

Answer:

A. $\frac{5}{7}$