Test Index

BECE Mathematics 2021 Paper

© africaexams.com

Question : 29

Total: 40

Find the gradient of the line that joins the points

A(-3,5)

B(7,-2)

$\;\frac{10}{7}$
$-\;\frac{5}{12}$
$-\;\frac{7}{10}$
$\;\frac{12}{5}$

Solution:

Concept:

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

y

to the change in

x

.

Explanation:

For points

A(-3,5)

and

B(7,-2)

, take

(x_1,y_1)=(-3,5)

and

(x_2,y_2)=(7,-2)

.

Gradient

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

.

So,

m = \frac{-2 - 5}{7 - (-3)}

.

This gives

m = \frac{-7}{10}

.

Therefore, the gradient is

-\frac{7}{10}

.

Answer:

C.

-\frac{7}{10}

© africaexams.com

Go to Question:

Prev Question

Next Question