Michael P. answered • 02/19/18

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For a line to be perpendicular the slope must be a negative reciprocal of the other line slope>

Since the equation y = 4*x + 7 has a slope = 4, the negative reciprocal of this slope is -1/4

Therefore, passing through points (2,2) or x0 = 2 and y0 = 2, fill in values for new perpendicular equation

y - y0 = (x - x0)*m

y = (x - x0)*m + y0

y = (x - 2)*(-1/4) + 2

y * (-1/4)*x + 1/2 + 2

y = (-1/4)*x + 5/2 Equation of line that is perpendicular and passes through (2,2)