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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