Question

what is the slope of the line that passes through (-7, 2) and (4, 5)?
m = __

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: Identify coordinates

Let \((x_1, y_1)=(-7, 2)\) and \((x_2, y_2)=(4, 5)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{5 - 2}{4 - (-7)}=\frac{3}{4 + 7}=\frac{3}{11} \).

Answer:

\(\frac{3}{11}\)