Mark M. answered 10/21/24
Retired college math professor. Extensive tutoring experience.
The slope of the line y = -4x + 12 is -4.
Any line perpendicular to that line has slope -1 / (-4) = 1/4.
So, the slope-intercept form for such a line would be y = (1/4)x + b, where b is the y-intercept.