Question

in the standard $(x, y)$ coordinate plane, what is the slope of the line that passes through $(-6, 4)$ and $(1, 3)$?
a $-\frac{7}{5}$
b $-\frac{1}{5}$
c $-\frac{1}{7}$
d $\frac{1}{7}$

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: Assign point values

Let $(x_1,y_1)=(-6,4)$ and $(x_2,y_2)=(1,3)$

Step3: Substitute into formula

$m=\frac{3-4}{1-(-6)}=\frac{-1}{7}$

Answer:

C. $-\frac{1}{7}$