The line with equation y=3/4x+1 is equivalent to what equation in standard form?

1 Answer
Jim G.
Dec 8, 2016

4y-3x-4=0

Explanation:

The equation of a line in color(blue)"standard form" is.

color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By+C=0)color(white)(2/2)|)))

To express y=3/4x+1" in standard form"

multiply ALL terms on both sides by 4

rArr4y=cancel(4)^1xx3/cancel(4)^1 x+4

rArr4y=3x+4

Move terms on right side to the left by subtracting them.

rArr4y-3x-4=0larr" in standard form"

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