1 Answer

Hnatt · Answer 1 · 2022-04-08T21:16:29+0000

Answer:

Slope = ½

Explanation:

Given the two points on the graph, (-4 , 0) and (0, 2):

Let (x₁, y₁) = (-4 , 0)

(x₂, y₂) = (0, 2)

Substitute the given points into the following slope formula:

$\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}$

$\LARGE\mathsf{m = \frac {2\: -\:0}{0\: -\:(-4)}}$

$\LARGE\mathsf{m = \frac {2\: -\:0}{0\: +\:4}}$

$\LARGE\mathsf{m = \frac {2}{4}\:=\:(1)/(2)}$

Therefore, the slope of the line is ½.

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