Question

The line passing through (-2, 3) perpendicular to 4x - y = -6

Answer 1

Answer:

y = - (1/4)x + 5/2

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocals.

y - $y_{1}$ = m(x - $x_{1}$)

~~~~~~~

4x - y = - 6 ⇔ y = 4x + 6 ⇒ m = 4

Slope of ⊥ line is (- $\frac{1}{4}$ )

y - 3 = - $\frac{1}{4}$ (x + 2)

y - 3 = - $\frac{1}{4}$ x - $\frac{1}{2}$  

y = - (1/4)x + 5/2