Question

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

Answer 1

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

Explanation:

To find the slope:

1. Use the formula
`m = (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 = (y_(2)-y_(1))/(x_(2)-x_(1))` Formula for slope

`m = (-8-2)/(-8-0)` Substituted points

`m = (-10)/(-8)` Simplified the subtraction then the negatives

`m = (10)/(8)` Reduce fraction by dividing top and bottom by 2

`m = (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 = (y_(2)-y_(1))/(x_(2)-x_(1))` Formula for slope

`m = (15-(-5))/(8-(-8))` Substituted points

`m = (15+5)/(8+8)` Simplified the subtraction into addition

`m = (20)/(16)` Reduce fraction (divide top and bottom by 4)

`m = (5)/(4)` Second slope