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In an orthonormal system of coordinates we consider the points A(2, 0) and B(0, 1) and two “moving” points: P (x, 0) Q(0, −3x) with x < 0. Consider now the set of all points obtained by intersecting the straight lines PB and QA. Find the equation of this set of points ?

trancelocation
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Lao
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  • Any thoughts? What did you try? – trancelocation Apr 01 '20 at 06:36
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    This is essentially the same as your previous question, just with different numbers. Once you can solve that problem you can handle this one, too. This isn’t a “do my homework for me” site, though. This question has the same issues as have been pointed out for that one. As they are, both questions stand a good chance of simply being closed. If you don’t want that to happen, edit them to include the information described in How to ask a homework question for ways to improve these questions. – amd Apr 01 '20 at 06:39
  • Can I find the equation of the line of PB and QA and then set them equal to each other? Then y intercept of PB is (0,1) and Your y intercept of QA is (0,-2x) then Find the slope of each line and set them equal thats what I would do but I’m not sure – Lao Apr 01 '20 at 06:42
  • Any help ? Because I’m not sure – Lao Apr 01 '20 at 06:45
  • Here's a visualization of the situation: https://www.desmos.com/calculator/3h5aox8ovr – Matti P. Apr 01 '20 at 07:25
  • I would recommend forming the general equations of the two lines; and then solving for their intersection. – Matti P. Apr 01 '20 at 07:26

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