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JAMB Mathematics 2010 Paper

Question : 41

Total: 49

Find the gradient of the line passing through the points P(1, 1) and Q(2, 5).

Solution:

Concept:

The gradient of a straight line shows how much

y

changes for each unit change in

x

Explanation:

Use the gradient formula for two points

(x_1, y_1)

and

(x_2, y_2)

m = \frac{y_2 - y_1}{x_2 - x_1}

Let

P(1, 1) = (x_1, y_1)

and

Q(2, 5) = (x_2, y_2)

Substitute the values:

m = \frac{5 - 1}{2 - 1}

m = \frac{4}{1}

m = 4

Answer:

The gradient is

4

, which is Option D.

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