In a coordinate system, if three points (5, 3), (x, 3) and (3, 2) lie on a same line, then find a value of x?

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- Aug 6th 2009, 12:22 AMbluffmaster.roy.007any general method
In a coordinate system, if three points (5, 3), (x, 3) and (3, 2) lie on a same line, then find a value of x?

- Aug 6th 2009, 12:42 AMMush
It's a straight line, therefore it has an equation of the form:

Where m is the gradient and c is the y-intercept.

To find m, use the following:

Using the coordinates that have no unknowns.

Then find the y intercept by plugging one of the coordinates into your new equation and solve for c.

One you've done that, put the points (x,3) into the equation and solve for x. - Aug 6th 2009, 01:21 AMbluffmaster.roy.007
not able to solve can u show me how to since slope of

the first two cordinates is zero so can the value of x be 5 ....what is the value of x - Aug 6th 2009, 01:39 AMMush
The slope is not zero. You have two coordinates (5,3) and (3,2).

Therefore, the gradient is calculated as follows:

So you know that the equation is:

.

Now you have to find C. Do this by taking one of the coordinates (either (5,3) or (3,2)) and plugging it into the equation, and solve for C.

So you're equation is

Now, plug in the coordinate (x,3) and solve for x. - Aug 6th 2009, 05:34 AMmr fantastic