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$2.00 maths

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ANNLINDSAY
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Q:

A is the point (7,4 ). The straight lines with equations x+3y+1=0 and 2x+5y=0 intersect at B.

1. Find the coordinates of B and the gradient of AB

2. Hence show that AB is perpendicular to only one of these lines.

 

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Coordinates
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  • Posted on Aug. 24, 2010 at 09:39:41AM
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N2411
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A:
Preview: ... intersection. So solving x+3y+1=0 and 2x+5y=0 simultaneously, we get Y= -2 and x=  5 B is (5,-2) For gradients, The gradient of the line joining the points (x 1, y 1) and (x 2, y 2) is: y ...
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a simple explanation for you
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  • Posted on Aug. 24, 2010 at 09:57:17AM
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A:
Preview: ... equations simultaneously. If you write (-1/3)x-1=(-2/5)x and try to find x, you will find immediatly that x=5. So the x-coordinate of B is 5. Now, if you sabstitute x=5 into both equations you will find that both give y = -2, so the y-coordinate of B is - ...
The full tutorial is about 239 words long .