Answer:
y= -2x
Step-by-step explanation:
To find the slope, convert the standard form of the equation into slope intercept form, y=mx+b.
5x-10y=-12
-10y=-5x-12
y=1/2 x + 1.2
The slope is 1/2 and the slope of the new line will be -2 because the negative reciprocal create a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-8)=-2(x--4)
y-8=-2(x+4)
y-8=-2x -8
y= -2x +0
