Answer:
y=2x-14
Explanation:
Perpendicular lines have slopes that are opposite reciprocals:
Example: 4 and -1/4 are opposite reciprocals
y = -x/2+2 ==> slope for this equation is -1/2
Now take opposite reciprocal of -1/2
1/(-1/2) * (-1) =
1 * (-2/1) * (-1) =
1 * (-2) * (-1) =
1 * 2 = 2
y=mx+b
-4 = 2(5) + b ==> plug in y=-4, x=5, and m=2 from (5, -4) and a slope of 2
-4 = 10 + b ==> solve for b
-4 - 10 = 10 - 10 + b ==> subtract 10 on both sides to isolate b
b = -14
y=2x+(-14) ==> plugin -14 for b in y=mx+b
y=2x-14