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A line can be defined in general form by the equation Ax+By = C where A, B and C are constants. You may assume that both A and B are non-zero. Then the slope of the line is , its x intercept is , and its y intercept is . Of course your answers will depend on A, B, and C. Remember that mathematics, and WeBWorK, are case sensitive, so make sure to use upper case letters A, B and C.

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apologiabiology
note: I'm not going to type in case sensitive or correct grammer so it's not my fault if you paste my answer and the program says it's wrong


y=mx+b
m=slope
b=y intercept

the x intercept is where the line crosses the x axis or where y=0
the y intercept is where the line crosses the y axis or where x=0


so

for the slope, solve for y
Ax+By=C
minus Ax both sides
By=-Ax+c
divide both sides by B
[tex]y=\frac{-A}{B}x+\frac{C}{B}[/tex]

the slope is [tex]\frac{-A}{B}[/tex] and the y intercept is at [tex]y=\frac{C}{B}[/tex]

find x intercept
set y=0

Ax+By=C
Ax+B(0)=C
Ax=C
divide both sides by A
[tex]x=\frac{C}{A}[/tex]
the x intercept is at [tex]x=\frac{C}{A}[/tex] or the point [tex](\frac{C}{A},0)[/tex]


slope is [tex]\frac{-A}{B}[/tex]
the x intercept is at [tex]x=\frac{C}{A}[/tex] or the point [tex](\frac{C}{A},0)[/tex]
the y intercept is at [tex]y=\frac{C}{B}[/tex] or the point [tex](0,\frac{C}{B})[/tex]

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