Question

what is the slope of the line shown below?
(-7, 2) (4, 6)
a. \\(\frac{11}{4}\\)
b. \\(\frac{4}{11}\\)
c. \\(-\frac{4}{11}\\)
d. \\(-\frac{11}{4}\\)

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 points

Let \((x_1, y_1)=(-7, 2)\) and \((x_2, y_2)=(4, 6)\).

Step3: Substitute into formula

\( m=\frac{6 - 2}{4 - (-7)}=\frac{4}{4 + 7}=\frac{4}{11} \).

Answer:

B. \(\frac{4}{11}\)