WAEC - Further Mathematics (2007 - No. 6)

The gradient of the line passing through the points P(4, 5) and Q(x, 9) is \(\frac{1}{2}\). Find the value of x.
-4
0
4
12

Explanation

\(Gradient = \frac{y_{1} - y_{2}}{x_{1} - x_{2}} \)

\(\frac{1}{2} = \frac{5 - 9}{4 - x}\)

\(\frac{1}{2} = \frac{-4}{4 - x} \implies -8 = 4 - x\)

\(x = 4 + 8 = 12\)

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