Question

Help to solve please! Also, what topic is this under maths?

Answer 1

(i) (0, 8)

(ii) (6, 0)

(iii) (3, 4)

Explanation:

The equation of the line AB is 4x + 3y = 24.

PART (i): To find the coordinate A,

We know that coordinate A cuts the y-axis, which implies that the x is 0.

When x = 0

4(0) + 3y = 24

3y = 24

y = 8

The coordinate of A is (0, 8)

Part (ii): To find the coordinate B,

We know that the coordinate B cuts the x-axis, which implies that y is 0.

When y = 0,

4x + 3(0) = 24

4x = 24

x = 6

The coordinate of B is (6, 0)

PART (iii): Midpoint

x-coordinate = (0 + 6)/2 = 3

y-coordinate = (8 + 0)/2 = 4

The midpoint 9 is (3, 4)