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

Answer:

$\boxed{\dfrac{9}{13}}$

Step-by-step explanation:

$\text{slope} = \dfrac{\text{rise}}{\text{run}}$

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

run = x₂ - x₁ =   9 - (-4)   =   9 +   4 = 13

$\text{slope} = \mathbf{\dfrac{9}{13}}\\\\\text{The slope of the line is \boxed{\mathbf{\dfrac{9}{13}}} }$

Answer 2

Answer:

Slope = 2/3

Step-by-step explanation:

The slope of a line is

$Slope=\dfrac{Rise}{Run}$

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.

$Slope=\dfrac{2}{3}$

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