Question 98819: This problem has been giving me a head ach for 2 days!! Please help! I need to know how to do this step by step, so that I can do the others... Thanks!!
Two solutions of the equation Ax+By=1 are (3,-1) and (-4,-2)
Find A and B... After finding A and B what is the slope and the y-intercept of the line?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Two solutions of the equation Ax+By=1 are (3,-1) and (-4,-2)
Find A and B... After finding A and B what is the slope and the y-intercept of the line?
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Substitute the x,y values into the form Ax+By=1 to solve for A and B:
1st: 3A -B=1
2nd: -4A-2B=1
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Multiply 1st by 2 to get:
3rd: 6A-2B=2
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Subtract 2nd from 3rd to solve for A:
10A = 1
A = (1/10)
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Substitute into 1st to solve for B:
3(1/10)-B=1
B = -7/10
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EQUATION:
(1/10)x-(7/10)y = 1
x-7y=10
7y = x-10
y = (1/7)x - (10/7)
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Slope is 1/7
y-intercept is -10/7
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Cheers,
Stan H.
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