Determine the line?

[Ana.stasia]

The question is:
On which line is the point M (2,3) the center of the segment between the coordinate axes?

I thought this meant m=n, but I was wrong.

 

[Dr.Peterson]

The question is:
On which line is the point M (2,3) the center of the segment between the coordinate axes?

I thought this meant m=n, but I was wrong.

View attachment 24954

But m and n are, respectively, the x-coordinate of the x-intercept, and the y-coordinate of the y-intercept. They are not the distances from the given point to those intercepts, which is what have to be equal.

If you just sketch what the graph has to look like, showing the intercepts and thinking about what a midpoint is, you should be able to see quickly what those intercepts have to be! Give that a try.

 

[Ana.stasia]

But m and n are, respectively, the x-coordinate of the x-intercept, and the y-coordinate of the y-intercept. They are not the distances from the given point to those intercepts, which is what have to be equal.

If you just sketch what the graph has to look like, showing the intercepts and thinking about what a midpoint is, you should be able to see quickly what those intercepts have to be! Give that a try.

Thank you, I solved it.