Question

12 fill in the blank 1 point what is the slope of the line that passes through the points (3, -2) and (7, 5)? graph these points and show the slope in box d. do not use decimals, write your answer as a fraction. do not include spaces in your answer. type your answer...

Explanation:

Step1: Recall 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: Identify the values of $x_1,y_1,x_2,y_2$

Let $(x_1,y_1)=(3, - 2)$ and $(x_2,y_2)=(7,5)$.

Step3: Substitute values into the formula

$m=\frac{5-(-2)}{7 - 3}=\frac{5 + 2}{4}=\frac{7}{4}$.

Answer:

$\frac{7}{4}$