Answer:
(i) (0, 8)
(ii) (6, 0)
(iii) (3, 4)
Step-by-step 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)
