Ellen W.
asked • 05/01/22Show 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.
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1 Expert Answer
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.
Mark M.
The prblem asks for a proof of your assertion.
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05/01/22
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Mark M.
Proof can be done either with transformation matrix or geometry. With which are you familiar?05/01/22