Question

A and B are two points on the x-axis and y-axis
respectively. P(2, -3) is the mid-point of AB. Find :
(i) the coordinates of A and B.
(ii) the slope of the line AB.
(iii) the equation of the line AB.​

Answer 1

Answer:

(ii) the slope of the line AB.

Answer 2

Answer:

Since A is on x-axis so y coordinate is zero

Let A be (x , 0)

Since B is on y-axis so x coordinate is zero

Let A be (0 , y)

Now mid point of AB has coordinate : -

(x + 0)/2 , (0 + y) /2

(x + 0)/2 = 2

x = 4

(0 + y) /2 = - 3

y = - 6

Coordinate of A :-

(4,0)

Coordinate of B :-

(0, - 6)

Step-by-step explanation: