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# What is the equation of the line passing through the point -2 -3 and is perpendicular to the line 4x plus 3y -5 equals 0?

Updated: 4/28/2022

Wiki User

7y ago

Best Answer

Perpendicular equation: 4x +3y -5 = 0

Perpendicular slope: -4/3

Slope of line: 3/4

Point of line: (-2, -3)

Equation of line: y - -3=3/4(x - -2) => 4y - -12=3x - -6 => 4y = 3x -6

Therefore the equation of the line is: 4y = 3x -6 or 3x -4y -6 = 0

Wiki User

7y ago
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Wiki User

7y ago

* Calculate the slope of the line to which it is perpendicular to.* Divide -1 by this slope, since perpendicular lines have slopes that, when you multiply them together, give you a product of -1.

* Finally, use the slope-point equation to determine the equation of the line.

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