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

Let's take two points on the line: $(0, - 7)$ and $(8,3)$.

Step2: Apply slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1=-7,x_2 = 8,y_2 = 3$. Then $m=\frac{3-(-7)}{8 - 0}=\frac{3 + 7}{8}=\frac{10}{8}$.

Step3: Simplify the fraction

Simplify $\frac{10}{8}$ to $\frac{5}{4}$.

Answer:

$\frac{5}{4}$