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/
Algebra.Com
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 .
RELATED QUESTIONS
If a straight line passes through the point (2,4), find the locus of the middle point of... (answered by robertb)
please do help me,,,,
A line passes through (-2,3) and the segment of the line... (answered by josgarithmetic)
A line passes through point (2, 2). Find the equation
of the line if the length of the... (answered by fractalier)
A line passes through point (2,2). Find the equation of the line if the length of the... (answered by josgarithmetic,DarkArrow29)
PLEASE HELP. WHAT IS THE EQUATION OF A LINE THROUGH (4, -1) AND WHOSE SEGMENT INTERCEPTED (answered by KMST)
The x and y intercepts of a straight line L is equidistant from the x and y axes. Find... (answered by ikleyn)
Find the equation of straight line which passes through the point (3,4) and makes... (answered by Alan3354)
A straight line is drawn through the point (3,4). the line cuts the axes at the points A... (answered by josmiceli)
The equation of a straight line AC is 2y=-3x+6. Given the point A(-2,6) and AB:BC = 2:5.... (answered by greenestamps)