Geometry question

Question

Write the equation of a line that is perpendicular to the line y-2=4(x-1) that goes through point (-4,5)

Answer 1

slope of line in slope-point form: y-y1 = m(x-x1) is m,. Here m is 4. Slope of perpendicular line is negative reciprocal or -1/4.

equation of line going through (-4,5) with slope -1/4:

y-5 = -1/4(x+4)