Question

Please ASAP , Help find the original slope and the parallel slope

Answer 1

slope =
`(1)/(2)`

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 8, 1) and (x₂, y₂ ) = (8, 9) ← 2 points on the green line

m =
`(9-1)/(8+8)` =
`(8)/(16)` =
`(1)/(2)`

Repeat with (x₁, y₁ ) = 0, 6) and (x₂, y₂ ) = (2, 7) ← 2 points on the blue line

m =
`(7-6)/(2-0)` =
`(1)/(2)`

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

Answer 2

The slope for both is ½ because every unit to the right (x axis) is increasing by 1.

Rise is 1, run is 2