Answer:
4y+x+17=0
Explanation:
y=4x+2
For a point to be perpendicular to a line
then the product of the two gradients must be negative one (I.e, m1×m2=-1)
where m1= 4
m2=-(1/m1)
m2=-1/4
point (7,-6)
x1=7 y1=-6
from the general equation of a line
y-y1=m(x-x1)
y-(-6)=-1/4(x-7)
y+6=-1/4(x-7)
y+6=-1/4x+7/4
y+1/4x=(7/4)-6
y+1/4x=-17/4
y+1/4x+17/4=0
4y+x+17=0