Question

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which graph has a slope of -4/5?

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: Check each graph

For each graph, pick two clear - cut points on the line. Calculate the slope using the formula.
Let's assume for a graph with points $(x_1,y_1)$ and $(x_2,y_2)$. If $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{4}{5}$, that is the correct graph. For example, if one point is $(x_1,y_1)=(0,0)$ and another is $(x_2,y_2)=(5,4)$, then $m=\frac{4 - 0}{5 - 0}=\frac{4}{5}$.

Since no specific points are given in the question for each graph in text form, we can't calculate the exact slope for each graph here. But the general method is to pick two points on the line of each graph and use the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$ to check which one has a slope of $\frac{4}{5}$.

Answer:

We need to calculate the slope for each graph using two points on the line of the graph with the formula $m=\frac{y_2 - y_1}{x_2 - x_1}$ to determine which graph has a slope of $\frac{4}{5}$. Without specific point - values for each graph, we can't give a definite answer among the presented graphs.