Questions: What is the slope of the line shown below? A. -1/2 B. -2 C. 1/2 D. 2

Transcript text: What is the slope of the line shown below? A. $-\frac{1}{2}$ B. -2 C. $\frac{1}{2}$ D. 2

Solution

Solution Steps

Step 1: Identify the coordinates of the points

The coordinates of the two points on the line are given as (-7, 2) and (5, 8).

Step 2: Use the slope formula

The slope $ m $ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 3: Substitute the coordinates into the formula

Substitute $(x_1, y_1) = (-7, 2)$ and $(x_2, y_2) = (5, 8)$ into the formula: \[ m = \frac{8 - 2}{5 - (-7)} \] \[ m = \frac{6}{5 + 7} \] \[ m = \frac{6}{12} \] \[ m = \frac{1}{2} \]