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

From the graph, the line passes through $(0,5)$ and $(2,6)$ (or other pairs like $(-8,1)$ and $(0,5)$). Take $(0,5)$ as $(x_1,y_1)$ and $(2,6)$ as $(x_2,y_2)$.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 5}{2 - 0} = \frac{1}{2}$

Answer:

$\frac{1}{2}$