Question

A line intersects the y-axis and x-axis at the points P and Q respectively. If (2, -5) is the mid point of PQ, then find the coordinates of P and Q

Answer 1

Given ,

A line intersects the y-axis and x-axis at the points P and Q respectively

The mid point of PQ is (2 , -5)

We know that , the mid point formula is given by

$\boxed{ \tt{x = \frac{ x_{2} + x_{1}}{2} \: \: , \: \: y = \frac{ y_{2} + y_{1}}{2}}}$

And

The coordinate of y axis = ( 0 , y )

The coordinate of x axis = ( x , 0 )

Thus ,

$\tt \implies 2 = \frac{0 + x}{2} \: \: , \: \: - 5 = \frac{y + 0}{2}$

$\tt \implies x = 4 \: \: , \: \: y = - 10$

Therefore , the coordinate of point P and Q are (0 , -10) and (4 , 0)

_____________ Keep Smiling ☺