Question

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

Explanation:

Step1: Recall slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify two points

We have the points $(x_1,y_1)=(0,1)$ and $(x_2,y_2)=(7,5)$.

Step3: Substitute values into formula

$m=\frac{5 - 1}{7 - 0}=\frac{4}{7}$.

Answer:

$\frac{4}{7}$