Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
Contains the point (-4, 7) and is perpendicular to the line 4x − y = 4
4x − y = 4 has slope 4
so any line 4x − y = 4 to it has slope -1/4
Now we have a point and a slope, so the desired line has equation
y-7 = -1/4 (x+4)
Rearrange that into your desired format.