Question

what is the slope of this line? (-3, 4) (3, -4) simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify slope - formula

The slope formula for 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 $(x_1,y_1)=(-3,4)$ and $(x_2,y_2)=(3,-4)$.

Step3: Substitute values into formula

$m=\frac{-4 - 4}{3-(-3)}=\frac{-8}{3 + 3}$.

Step4: Simplify the fraction

$m=\frac{-8}{6}=-\frac{4}{3}$.

Answer:

$-\frac{4}{3}$