Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the slope of this line? simplify your answer and write it as a …

Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Select two points on the line

Let's take the points $(0, - 6)$ and $(3,-15)$.

Step2: Use the slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=-6,x_2 = 3,y_2=-15$. Then $m=\frac{-15-(-6)}{3 - 0}=\frac{-15 + 6}{3}=\frac{-9}{3}=-3$.

Answer:

$-3$