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Question 921257: The lines y=x and y=2x-5 intersect at the point a . Find the equation of the line with gradient 2/5 that passes through the point A . ( I have a maths test soon would be very helpful and appreciated if I can get the answer and the working out on how to do this )
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The lines y=x and y=2x-5 intersect at the point a . Find the equation of the line with gradient 2/5 that passes through the point A .
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First, find A::
Substitute for "y" and solve for "x":
x = 2x-5
x = 5
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Since y = x, y = 5
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A is (5,5)
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Second: Find the equation with slope = 2/5 passing thru (5,5)
Form:: y = mx + b
Substitute and solve for "b"::
5 = (2/5)5 + b
5 = 2 + b
b = 3
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Ans: y = (2/5)x + 3
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Cheers,
Stan H.
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