Math
posted by Anonymous on .
How do you find the equation of a line in standard form (ax+by=c where a, b, and c are integers) for the line passing through (1,5) and (3,1)?

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Twopoint form of equation:
y  y1 = [ ( y2  y1 ) * ( x  x1 ) ] / ( x2  x1 )
In this case:
x1 = 1
x2 = 3
y1 = 5
y2 = 1
y  5 = [( 1  5 ) * ( x  1 )] / [ ( 3 )  1 ) ]
y  5 = ( 4 ) * ( x  1 )/ ( 4 )
y 5 = (  4 / 4 ) * ( x  1 )
y  5 = 1 * ( x  1 )
y  5 = x  1
y  x = 1 + 5
y  x = 4
Ax + By = C
A = 1
B = 1
C = 4