Question

I want to know the Slope of the line

Answer 1

Answer: -1/2

Step-by-step explanation

The diagonal line passes through (-4,0) and (0,-2)

I'll use the slope formula on those points.

`(x_1,y_1) = (-4,0) \text{ and } (x_2,y_2) = (0,-2)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (-2 - 0)/(0 - (-4))\\\\m = (-2 - 0)/(0 + 4)\\\\m = (-2)/(4)\\\\m = -(1)/(2)\\\\`

The slope is -1/2

It means "go down 1, right 2". We follow this movement pattern to move from one point to another on the diagonal line.