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P is a point on the graph of y= 5x+3. The coordinates of a point Q are (3,-2). If M is the mid point of PQ, then M must like on the line represented by

P is a point on the graph of y= 5x+3. The coordinates of a point Q are (3,-2). If M is the mid point of PQ, then  M must like on the line represented by 

Grade:10

1 Answers

Aditya Gupta
2081 Points
4 years ago
let coordinates of P be (a, 5a+3).
let coordinates of M be (h, k).
now, by mid point rule, we have
2h=a+3 and 2k=5a+3 – 2
eliminating a from these equations we get
5h=k+7
changing h  and k into x and y respectively, we get
5x=y+7

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