Basic Geometry

Geometry Level 1

The line P Q PQ has equation 4 x + 3 y = 15 4x+3y=15 . Find the gradient of P Q PQ .

4/3 4/15 -4/3 3/15 -15/3 15/3 -15/4 15/4

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2 solutions

Simply rearrange into the form y=mx+c and read m off from there. 3y=-4x+15 y=-4/3x+5 Therefore, the gradient is -4/3.

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Gagan Raj
Feb 17, 2015

Its very simple. Just differentiate both sides of the equation with respect to ' x ' we get

4 + 3y' = 0

y' = -4 / 3 = slope of the equation = gradient of PQ

Hence the answer is -4 / 3 .

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