1. ## locus

A straight line y=mx-5-2m meets x-axis and y-axis at point J and K respectively. Find the locus of the midpoint of JK when m is varied.

2. ## Re: locus

What have you tried? Do you have a formula for the midpoint in terms of m? If so, you should be able to treat m as a parameter and eliminate it. You'll get a function you can plot. See the pdf.

3. ## Re: locus

Originally Posted by Trefoil2727
A straight line y=mx-5-2m meets x-axis and y-axis at point J and K respectively. Find the locus of the midpoint of JK when m is varied.
You can determne K and J by setting x to 0 and solving for y and then setting y to 0 and solving for x. Then find the midpoint of those two points.

4. ## Re: locus

but the answer given does not have m..

5. ## Re: locus

Originally Posted by Trefoil2727
but the answer given does not have m..
It was suggested that you eliminate the parameter m, can you state the parametric equations?