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 [tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] .
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
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] Formula for slope
[tex]m = \frac{-8-2}{-8-0}[/tex] Substituted points
[tex]m = \frac{-10}{-8}[/tex] Simplified the subtraction then the negatives
[tex]m = \frac{10}{8}[/tex] Reduce fraction by dividing top and bottom by 2
[tex]m = \frac{5}{4}[/tex] 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
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] Formula for slope
[tex]m = \frac{15-(-5)}{8-(-8)}[/tex] Substituted points
[tex]m = \frac{15+5}{8+8}[/tex] Simplified the subtraction into addition
[tex]m = \frac{20}{16}[/tex] Reduce fraction (divide top and bottom by 4)
[tex]m = \frac{5}{4}[/tex] Second slope
