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

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

Answer:

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