Answer:
y = 4x -3
Step-by-step explanation:
When a reference line is given in (almost) standard form, I find it convenient to use that form for the perpendicular line, then rearrange as required.
Dividing the given equation by 3 gives ...
x +4y = -2
Swapping the x- and y-coefficients and negating the new y-coefficient gives a perpendicular line:
4x -y = constant
We can find the constant by substituting the given point values:
4x -y = 4(-1) -(-7) = 3
Solving this for y gives ...
y = 4x -3
