Question

If M(3.5) is the midpoint of the line joining A(-3, 7) and B(p, q), find the value
of p and of q.​

Answer 1

Answer:

3=(-3+p)/2

6=-3+p

p=6+3=9

5=(7+q)/2

10=7+q

q=10-7=3

Answer 2

Answer:

The values of p and q are 9 & 3 respectively.

Step-by-step-explanation:

We have given the coordinates of the midpoint and the starting point of a line segment.

We have to find the coordinates of the end point of the line segment.

A ≡ ( - 3, 7 ) ≡ ( x₁, y₁ )

B ≡ ( p, q ) ≡ ( x₂, y₂ )

M ≡ ( 3, 5 ) ≡ ( x, y )

Now, by midpoint formula,

x = ( x₁ + x₂ ) / 2 , y = ( y₁ + y₂ ) / 2

⇒ 3 = ( - 3 + p ) / 2 , 5 = ( 7 + q ) / 2

⇒ 3 * 2 = - 3 + p , 5 * 2 = 7 + q

⇒ 6 = - 3 + p , 10 = 7 + q

⇒ p = 6 + 3 , q = 10 - 7

⇒ p = 9 , q = 3

∴ B ≡ ( 9, 3 )

∴ The values of p and q are 9 & 3 respectively.