Question

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.

Answer 1

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