How do you find a standard form equation for the line (0,2) (1,-2)?

1 Answer
Josephine J.
Jan 9, 2018

4x + y = 2

Explanation:

Your first step in this process is to find the slope.
(y_"2"-y_"1")/(x_"2"-x_"1") = (-2-2)/(1-0)

This gives you a slope of -4/1

Your second step is to plug it into the point slope form with one of the points you were given.
(y-y_"1")=m(x-x_"1") = (y-2)=-4/1(x-0)

Your third step is to simplify that into your standard form which is Ax+Bx=C
1(y-2) = 1[ -4(x-0)]
y-2=-4x+0 Distribute
y-2+4x=0 Move the x value to the other side with inverse operations.
y+4x=2 Move the C value to the other side with inverse operations.
4x+y=2 Rearrange accordingly to get into the Ax + By=C formula.

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