Question

PLZ HURRY IT'S URGENT!!
What is the slope of the line that passes through the points (3, –1) and (–2, –5)? −54
−45 ​
45 ​ ​
54

Answer 1

Option C: $\frac{4}{5}$ is the slope of the line

Explanation:

The line passes through the points $(3,-1)$ and $(-2,-5)$

We need to find the slope of the line.

The slope can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Where the coordinates $(x_1,y_1)$ and $(x_2,y_2)$ are $(3,-1)$ and $(-2,-5)$

Let us substitute the points in the formula

Thus, we have,

$m=\frac{-5-(-1)}{-2-3}$

Simplifying, we get,

$m=\frac{-5+1}{-2-3}$

Adding the numerator and denominator, we have,

$m=\frac{-4}{-5}$

Cancelling the negative terms, we get,

$m=\frac{4}{5}$

Thus, the slope of the line is $m=\frac{4}{5}$

Therefore, Option C is the correct answer.