Answer:
y = 4x -3
Step-by-step explanation:
The line perpendicular to the given line can be written as the same equation with the coefficients of x and y swapped, and one of them negated. The constant may be different, so we'll call it "c".
4x -y +c = 0 . . . . . line perpendicular to that given
The y-intercept of the second given line can be found by setting x=0. That gives the equation -y -3 = 0. The perpendicular line with x=0 would have equation ...
-y +c = 0
Comparing these two tells us c = -3.
So, the general form of the perpendicular line we want is ...
4x -y - 3 = 0
We can add y to put this in slope-intercept form:
y = 4x -3
