Question

what is the slope of the line through (-4, 2) and (3, -3)?
choose 1 answer:
a $-\frac{5}{7}$
b $\frac{7}{5}$
c $-\frac{7}{5}$
d $\frac{5}{7}$

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 \( (x_1, y_1)=(-4, 2) \) and \( (x_2, y_2)=(3, -3) \).

Step3: Substitute into formula

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

Answer:

A. \( -\frac{5}{7} \)