Question

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

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 the points

We have the points $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(6,1)$.

Step3: Substitute values

Substitute into the formula: $m=\frac{1 - 0}{6 - 0}=\frac{1}{6}$.

Answer:

$\frac{1}{6}$