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Coordinates of point S

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by El Cucu » Sat Jan 17, 2009 6:19 pm
Line AS has slope 1/2 and line BS has slope 2/3, which are the coordinates of the intersecting point S? A=(0,0) B= (5,0)
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by DanaJ » Sat Jan 17, 2009 11:04 pm
The equation for line AS will be:
y = 1/2x + a. Since A is a point on this line then you get 0 = 1/2 * 0 + a. That makes a = 0. So the equation of line AS is y = 1/2x.
The equation for line BS will be:
y = 2/3x + b. Since B is a point on this line you have 0 = 2/3 * 5 + b, making b = -10/3.
Now to find out S, you have to consider y = y, meaning that 1/2x = 2/3x - 10/3, giving you 1/6x = 10/3 , with x = 20. y will be 1/2x = 10. So S has the coordinates (20,10).
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