Ellen W.

asked • 05/01/22

Show that the gradient of any line perpendicular to 3x - 4y + 2 =0 is -4/3

I don't even know where to start with this question and how to show it.

Mark M.

Proof can be done either with transformation matrix or geometry. With which are you familiar?
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05/01/22

1 Expert Answer

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Philip P. answered • 05/01/22

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3x - 4y + 2 = 0


First convert the equation to slope-intercept form (y = mx + b) to find the slope (m) of the line:


-4y = -3x - 2


y = (3/4)x + 1/2


So the slope is 3/4. The slope of all perpendicular lines will be the negative reciprocal of this slope, that is -4/3.

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Mark M.

The prblem asks for a proof of your assertion.
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05/01/22

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