which graph has a slope of $\frac{4}{5}$?

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Select two points on each line

For each graph, pick two distinct points on the line. Let the points be $(x_1,y_1)$ and $(x_2,y_2)$.

Step3: Calculate slope for each graph

For example, if for a line we have points $(x_1,y_1)=(0,1)$ and $(x_2,y_2)=(5,5)$, then $m=\frac{5 - 1}{5-0}=\frac{4}{5}$. Do this for all graphs.

Answer:

The graph for which, when two - distinct points are chosen and the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ is applied, gives a value of $\frac{4}{5}$. Without specific calculations for each graph here (as no labels on points are given in the image), the general process is to use the slope - formula on pairs of points on each line to find the correct graph.