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How do you find the straight line equation that passes through the point 3 -4 and is perpendicular to the line 5x -2y equals 3?
Wiki User
∙ 13y ago
The equation 5x -2y = 3 is the same as y = 2.5x -1.5
The perpendicular slope or gradient is the negative reciprocal of 2.5 which is minus 1/2.5
To find the perpendicular equation use y -y1 = m(x -x1) and the point (3, -4)
y - (-4) = -1/2.5(x -3)
y = -1/2.5x +6/5 -4
y = -1/2.5x -14/5 which can be rearranged in the form of 2x +5y +14 = 0
Wiki User
∙ 13y ago
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