Question 263237
Find an equation of the line that has the same y-intercept as the line x - 3y = 6 and contains the point (5,-1).
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x-3y = 6
The y-intercept is (0,2).
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Find the eqn thru the 2 points:
Do it like this:
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 Given 2 points example. 
Find the equation of the line thru the points (2,1) and (3,5)
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This is a 2 step process.  First find the slope of the line thru the points.
slope, m = diffy/diffx
m = (5-1)/(3-2)
m = 4
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Now use y = mx + b with either point to find b, the y-intercept.
y = mx + b
5 = 4*3 + b
b = -7
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y = mx + b
y = 4x - 7 is the answer.
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