Question

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

Answer 1

On y-axis the coordinate of x will be zero. Hence, coordinates of $P=(0,y)$

On x-axis the coordinate of y will be zero. Hence, coordinates of $Q=(x,0)$

We are told that the mid point coordinates of the line PQ are (2,-5)

As per question

$\frac{0+x}{2}=2$

$x=4$

and

$\frac{y+0}{2}=-5$

$y=-10$

Hence coordinates of P and Q are (0,-10) and (4,0) respectively.