Question

I Need Help please!!

Slope of one of the dotted lines:

Slope of the line of reflection:

Answer 1

see explanation

Explanation:

calculate slope m using the slope formula

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

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m =
`(8-(-3))/(6-(-5))` =
`(8+3)/(6+5)` =
`(11)/(11)` = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m =
`(4-3)/(-1-0)` =
`(1)/(-1)` = - 1