Answer:
y = 1/2 x -9/2
Step-by-step explanation:
y = -2x+3
The slope is -2
We want a line perpendicular. The product of the slopes is -1
-2 *m = -1
Divide by -2
-2m/-2 = -1/-2
m = 1/2
The slope of the perpendicular line is 1/2
The slope intercept form of a line is
y = mx+b
y = 1/2x+b
We have the point (1,-4). Substituting in for x and y
-4 = 1/2(1) +b
-4 = 1/2+b
Subtract 1/2 from each side
-4 -1/2 = b
-8/2 -1/2 =b
-9/2 =b
The equation for the line in slope intercept form is
y = 1/2 x -9/2
