Question

1.What is the slope of (0,2) and (-8,-8). What is the slope of (-8,-5) and (8,15)

Answer 1

Answer:

Slope of (0,2) and (-8,-8):    5/4

Slope of (-8,-5) and (8,15):   5/4

Both slopes are 5/4

m = 5/4

Step-by-step explanation:

To find the slope:

1. Use the formula  $m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

2. Assign point 1 and point 2

3. State (x₁ , y₁) and (x₂, y₂)

4. Substitute x₁ , y₁, x₂, and y₂ into the formula

5. Solve

Slope of (0,2) and (-8,-8):

Point 1: (0,2)        x₁ = 0     y₁ = 2

Point 2: (-8,-8)     x₂ = -8   y₂ = -8

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$         Formula for slope

$m = \frac{-8-2}{-8-0}$           Substituted points

$m = \frac{-10}{-8}$          Simplified the subtraction then the negatives

$m = \frac{10}{8}$          Reduce fraction by dividing top and bottom by 2

$m = \frac{5}{4}$              First slope

Slope of (-8,-5) and (8,15):

Point 1: (-8,-5)     x₁ = -8    y₁ = -5

Point 2: (8,15)     x₂ = 8     y₂ = 15

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$            Formula for slope

$m = \frac{15-(-5)}{8-(-8)}$         Substituted points

$m = \frac{15+5}{8+8}$             Simplified the subtraction into addition

$m = \frac{20}{16}$                Reduce fraction (divide top and bottom by 4)

$m = \frac{5}{4}$                 Second slope