Question

find the slope of the line that connects the two given points using the slope formula.

1. (4, -5); (2,10)

answer: _______________

1. (6, -7); (12, -7)

answer: _______________

Explanation:

Step1: Recall slope formula

The slope $m$ between points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Solve for problem 11

Substitute $(x_1,y_1)=(4,-5)$, $(x_2,y_2)=(2,10)$
$m=\frac{10-(-5)}{2-4}=\frac{15}{-2}=-\frac{15}{2}$

Step3: Solve for problem 12

Substitute $(x_1,y_1)=(6,-7)$, $(x_2,y_2)=(12,-7)$
$m=\frac{-7-(-7)}{12-6}=\frac{0}{6}=0$

Answer:

1. $-\frac{15}{2}$
2. $0$