Question

If the midpoint of the line segment joining the points a(3, 4) and (m,7) is x,y and 2x+2y+1=0.Find the value of m

Answer 1

Midpoint of (3,4) and (m,7) is M= ( (3+m)/2, (4+7)/2 ) =( (3+m)/2, 11/2)

M satisfies the line equation 2x+2y+1=0

implies 2[(3+m)/2] + 2(11/2) + 1 = 0

3 + m + 11 + 1 = 0

value of m is -15