SOLUTION: If a straight line passes through the point (A, B) and the portion of the line segment intercepted between the axes is divided equally at the point then what is the value of {{{ x/

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Question 1184215: If a straight line passes through the point (A, B) and the portion of the line segment intercepted between the axes is divided equally at the point then what is the value of ?
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52855) (Show Source):
You can put this solution on YOUR website!
.

In your post, you missed to determine "x" and "y".

Be sure that I can guess what the "x" and "y" are, but I do not want to base my solution on my guessing.

Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website!

Assume that neither A nor B is zero (since that will make the expression invalid).
Then the problem implies that the point (A,B) is the midpoint of the segment intercepted between the coordinate axes.
It follows then that the y-intercept of the line is (0,2B) and the x-intercept is (2A,0), and the line itself will have the intercept form given by

,

which implies that

.

Therefore the value of is .