A line joins $P(-2,5)$ to $Q(4,-4)$. A pupil writes its gradient as \(\dfrac{5-(-4)}{4-(-2)

Question

A line joins $P(-2,5)$ to $Q(4,-4)$. A pupil writes its gradient as $\dfrac{5-(-4)}{4-(-2)}=\dfrac32$. Identify the error and calculate the correct gradient.[3] Explain how the direction of the line from left to right confirms the sign of your answer.[1]

Accepted Answer

(a) Inconsistent point order; gradient $-\dfrac32$ (b) The line falls from left to right.

The sign of a gradient

The sign of a gradient

Solution:

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