select the correct answer. what is the slope of the line that goes through the points (1,-5) and (4,1)?\na…

select the correct answer. what is the slope of the line that goes through the points (1,-5) and (4,1)?\na. $-\frac{4}{3}$\nb. $-\frac{3}{4}$\nc. $\frac{1}{2}$\nd. 2

select the correct answer. what is the slope of the line that goes through the points (1,-5) and (4,1)?\na. $-\frac{4}{3}$\nb. $-\frac{3}{4}$\nc. $\frac{1}{2}$\nd. 2

Answer

Explanation:

Step1: Recall slope formula

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

Step2: Identify the points

Let $(x_1,y_1)=(1,-5)$ and $(x_2,y_2)=(4,1)$.

Step3: Substitute values into formula

$m=\frac{1-(-5)}{4 - 1}=\frac{1 + 5}{3}=\frac{6}{3}=2$.

Answer:

D. 2