Question

Draw a line representing the "run" and a line representing the "rise" of the line. State the slope of the line in simplest form.​

Answer 1

Slope = 2/3

Explanation:

The slope of a line is

`Slope=(Rise)/(Run)`

Select any two points on the line like A and B.

From the below figure it is clear that

Rise = Change in y = -2-(-4) = 2

Run = Change in x = 8-5 = 3

Substitute these values in the above formula.

`Slope=(2)/(3)`

Therefore, the slope of the line is 2/3.

Answer 2

`\boxed{(9)/(13)}`

Explanation:

`\text{slope} = \frac{\text{rise}}{\text{run}}`

rise = y₂ - y₁ = -1 - (-10) = -1 + 10 = 9

run = x₂ - x₁ = 9 - (-4) = 9 + 4 = 13

`\text{slope} = \mathbf{(9)/(13)}\\\\\text{The slope of the line is $\boxed{\mathbf{(9)/(13)}}$}`