Find the coordinates of the mid-point of the straight line joining the points of intersection of the curve and the line

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- Aug 21st 2010, 03:52 AMPunchCoordinates of the midpoint of intersecting lines
Find the coordinates of the mid-point of the straight line joining the points of intersection of the curve and the line

- Aug 21st 2010, 04:14 AMProve It
and .

Substituting the second into the first gives

Now solve for and substitute back to find the corresponding values. This will give you the two points, so you can use the midpoint rule to find the midpoint. - Aug 21st 2010, 04:14 AMHallsofIvy
The kind of obvious thing to do is to find the two point of intersection. From 2y+ 3x= 9, y= 9/2- (3/2)x. Replace y in and you get a quadratic equation for x which should have two solutions. Once you have found those two points of intersection, find the point midway between them.

Do you know that the point midway between and is ? - Aug 21st 2010, 04:55 AMPunch
Sorry guys, I misunderstood that the question stated there was only 1 point of intersection...

didnt notice that the word was 'points'.