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 on the line

Let's take two clear - cut points. The line passes through (-7,-2) and (8,2).

Step2: Use the slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1=-7,y_1 = - 2,x_2=8,y_2 = 2$. Then $m=\frac{2-(-2)}{8-(-7)}$.

Step3: Simplify the expression

$m=\frac{2 + 2}{8 + 7}=\frac{4}{15}$.

Answer:

$\frac{4}{15}$