Question

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

Answer 1

Answer:P(0,-10)  

             Q(4,0)

Step-by-step explanation:

P (0,Y) ... since it intersects at Y axis, x co-ordinate = 0

Q (X,0) ... As it intersects at X axis , y co-ordinate = 0

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

Mid point formula: Mid point == [(X1+X2)/2 , (Y1+Y2)/2]

x coordinate mid point ===2 = 0+X/2

X = 4

y coordinate mid point === -5 = Y+0/2

-10 = Y

Hence,

coordinates of P(0,-10) && Q(4,0)

Answer 2

Answer:

Step-by-step explanation:

P(0,y) Q(x,0)let R be the mid point then,2=x+0/2=4and y+0/2= -5=-10 hence,x=4 y=-10