Question

what is the slope of a line that passes through the points (-3, -5) and (1, 7) in the xy - plane? choose 1 answer: a 6 b 3 c 1/2 d -1

Explanation:

Step1: Recall slope - formula

The slope formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Let $(x_1,y_1)=(-3,-5)$ and $(x_2,y_2)=(1,7)$.

Step3: Substitute values into the formula

$m=\frac{7-(-5)}{1 - (-3)}=\frac{7 + 5}{1+3}=\frac{12}{4}=3$.

Answer:

B. 3