A pupil says that a line perpendicular to $y=-\dfrac34x+2$ has gradient $-\dfrac43$. Explain the

Question

A pupil says that a line perpendicular to $y=-\dfrac34x+2$ has gradient $-\dfrac43$. Explain the error and state the correct perpendicular gradient.[2] Find the equation of the perpendicular line through $(2,1)$.[2]

Accepted Answer

(a) $\dfrac43$: negative reciprocal (b) $4x-3y=5$

Choosing the perpendicular gradient

Choosing the perpendicular gradient

Solution:

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