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question 5 (1 point) a. -\\frac{2}{7} b. \\frac{1}{2} c. -\\frac{1}{2} …

Question

question 5 (1 point) a. -\frac{2}{7} b. \frac{1}{2} c. -\frac{1}{2} d. 2

Explanation:

Step1: Recall slope formula

The slope formula between 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

The two points on the line are $(x_1,y_1)=(3,-4)$ and $(x_2,y_2)=(7,-2)$.

Step3: Substitute values into formula

$m=\frac{-2-(-4)}{7 - 3}=\frac{-2 + 4}{4}=\frac{2}{4}=\frac{1}{2}$.

Answer:

B. $\frac{1}{2}$