Answer:
slope = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Given the two points on the graph: (-1, 2) (-5, -3)
Let (x1, y1) = (-1, 2)
(x2, y2) = (-5, -3)
We can use the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Substitute the values into the slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{-3 - 2}{-5 - (-1)} = \frac{-5}{- 5 + 1} = \frac{-5}{-4} = \frac{5}{4}[/tex]
Therefore, the slope of the line is: [tex]\frac{5}{4}[/tex]
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