The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
By comparing the given equation with the slope intercept equation,
slope, m = 1/4
Recall, if two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Thus,
negative reciprocal of line passing through (- 4, 5) = - 4/1 = - 4
We would find the y intercept, c of the line passing through (- 4, 5) by substituting m = - 4, x = - 4 and y = 5 into the slope intercept equation. We have
5 = - 4 * - 4 + c
5 = 16 + c
c = 5 - 16
c = - 11
By substituting m = - 4 and c = - 11 into the slope intercept equation, the equation of the line is
y