The equation of the line that is perpendicular to y = 4x + 5, in slope-intercept form is: y = -1/4x - 2.
What is the Equation of Perpendicular Lines?
Lines that are perpendicular to each other have slope that are negative reciprocal to each other.
Slope of y = 4x + 5 is 4.
Negative reciprocal of 4 is -1/4.
Substitute m = -1/4 and (a, b) = (8, -4) into y - b = m(x - a):
y - (-4) = -1/4(x - 8)
y + 4 = -1/4x + 2
y = -1/4x + 2 - 4
y = -1/4x - 2
Equation of the perpendicular line is: y = -1/4x - 2.
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