SOLUTION: A and B are the point (3,-1) and (2,3) respectively. l is the line 8y - 2x - 3 = 0 show that l passes through the midpoint of AB.

Question 855178: A and B are the point (3,-1) and (2,3) respectively. l is the line 8y - 2x - 3 = 0 show that l passes through the midpoint of AB.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
(3,-1) and (2,3)
The mid point will be (3+2)/2 = (5/2)
(-1+3)/2 = 2/2 = 1
The co-ordinates of mid point are ( (5/2),1 )
If this lies on the line 8y - 2x - 3=0
It must satisfy the equation
Plug the co ordinates of the mid point
8*1 -2*(5/2)-3 =0
LHS = RHS
so the midpoint lies on the line

RELATED QUESTIONS
A and B are the point (3,-1) and (2,3) respectively.l is the line 8y-2x-3=0.Show that (a) (answered by stanbon)

A and B are the point (3,-1) and (2,3) respectively. L is the line 8y - 2x - 3 = 0... (answered by richwmiller)

(a) The coordinates of the points P and Q are (6,4) and (-2,0) respectively. T is the... (answered by josgarithmetic)

Find an equation of the line L that passes through the point (-2,-4) and satisfies the... (answered by josgarithmetic,josmiceli)

1) Find the exact solution of the equation: 32/e^x - e^2x = 4 2) A... (answered by solver91311)

1)line l passes through point (9,1) and line p is the graph 3x-7y=22. If l 1p, what is... (answered by josgarithmetic)

Can someone please solve these 3 coordinate geometry in the x, y plane questions for me?... (answered by josgarithmetic)

A straight line L passes though the point (0, -1) and is parallel to the straight line... (answered by Alan3354,RAY100)