Question

Please help!! I’m taking a math course a grade above mine but since i’m on break my teacher isn’t able to help me.

Answer 1

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.