a line intersects the points (7, 6) and (11, -6). what is the slope of this line in simplest form? m = ?

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 7,y_1=6,x_2 = 11,y_2=-6$.

Step2: Substitute values into formula

$m=\frac{-6 - 6}{11 - 7}$.

Step3: Simplify the numerator and denominator

The numerator $-6 - 6=-12$, and the denominator $11 - 7 = 4$. So $m=\frac{-12}{4}$.

Step4: Reduce the fraction

$\frac{-12}{4}=-3$.

Answer:

$-3$