Answer:
2y - x = 8
Step-by-step explanation:
First get the slope of the line given
y=-2x+5
From the line, slope m = -2
The slope of the required line M = -1/-2 = 1/2
Substitute the point (-4, 2) and m = 1/2 into the point slope equation;
y - y0 = m(x-x0)
y - 2 = 1/2(x+4)
2(y-2) = x+ 4
2y - 4 = x+4
2y - x = 4+4
2y - x = 8
Hence the equation of this perpendicular line is 2y - x = 8
