Question

what is the slope of the line through $(-7, -2)$ and $(-6, 7)$?
choose 1 answer:
a $\displaystyle -\frac{1}{9}$
b $\displaystyle \frac{1}{9}$
c $9$
d $-9$

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 \( (x_2, y_2)=(-6, 7) \).

Step3: Substitute into formula

\( m=\frac{7 - (-2)}{-6 - (-7)}=\frac{7 + 2}{-6 + 7}=\frac{9}{1}=9 \).

Answer:

C. 9