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BECE Mathematics 2014 Paper

Question : 39

Total: 40

M(-1,2)

N(6,-3)

Solution:

Concept:

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

y

to the change in

x

Explanation:

Let

M(-1,2)

(x_1, y_1)

and

N(6,-3)

(x_2, y_2)

x_1 = -1

y_1 = 2

x_2 = 6

y_2 = -3

Use the formula:

\text{Gradient} = \frac{y_2 - y_1}{x_2 - x_1}

Substitute the values:

\text{Gradient} = \frac{-3 - 2}{6 - (-1)} = \frac{-5}{6 + 1} = \frac{-5}{7}

The gradient is negative, which means the line slopes downward from left to right.

Answer:

The gradient of the line is

\frac{-5}{7}

, which is option A.

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