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WAEC Mathematics 2016 Paper

Question : 17

Total: 49

Solution:

Concept:

The gradient of a line measures how steep it is by comparing the vertical change to the horizontal change between two points.

Explanation:

Let

P(1,2)

(x_1,y_1)

and

Q(5,8)

(x_2,y_2)

So,

x_1 = 1

y_1 = 2

x_2 = 5

, and

y_2 = 8

The formula for gradient

m

is:

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

Substitute the given values:

m = \frac{8 - 2}{5 - 1}

m = \frac{6}{4}

Simplify the fraction:

m = \frac{3}{2}

Answer:

The gradient of line

PQ

\frac{3}{2}

, which is option C.

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