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BECE Mathematics 2025 Paper

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Question : 23

Total: 40

Find the gradient of the line which passes through the points

(2,3)

and (-4, 5).

-3
$-\frac{1}{3}$
$\frac{1}{3}$
3

Solution:

Concept:

The gradient of a line through two points is the change in

y

divided by the change in

x

.

Explanation:

The gradient

m

is given by

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

Here,

(x_1, y_1) = (2,3)

and

(x_2, y_2) = (-4,5)

.

So,

m = \frac{5 - 3}{-4 - 2}

m = \frac{2}{-6}

m = -\frac{1}{3}

Answer:

The gradient is

-\frac{1}{3}

, which is option B.

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