Question

What is the slope of the given lines ?

Answer 1

slope =
`(4)/(3)`

Explanation:

Calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 5, - 8) and (x₂, y₂ ) = (7, 8) ← 2 points on the green line

m =
`(8+8)/(7+5)` =
`(16)/(12)` =
`(4)/(3)`

Repeat with (x₁, y₁ ) = (0, - 6) and (x₂, y₂ ) = (3, - 2) ← 2 points on the blue line

m =
`(-2+6)/(3-0)` =
`(4)/(3)`

Since the slopes of both lines are equal, then the lines are parallel