Find an equation for the line perpendicular to the line 4x+8y=-84x+8y=-8 having the same y-intercept as - 4x+2y=-6-4x+2y=-6.

4x + 8y = - 8

8y = - 4x - 8

y = - 1/2x - 1

⇒ Slope = - 1/2

⇒ Slope of perpendicular line = 2

- 4x + 2y = - 6

2y = 4x - 6

y = 2x - 3

⇒ y-intercept = - 3

Equation:

y = mx + b

Substitute the value for the slope and y-intercept:

y = 2x - 3

Answer: y = 2x - 3