Question

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

Explanation:

Step1: Identify two points

Let the points be $(- 3,-15)$ and $(3,3)$.

Step2: Use slope - formula

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

Step3: Simplify the expression

First, simplify the numerator and denominator. $3-(-15)=3 + 15=18$ and $3-(-3)=3 + 3=6$. So $m=\frac{18}{6}=3$.

Answer:

$3$