How do you write y-5=4(x+2) in standard form?

1 Answer
Mar 31, 2018

4x-y=-13

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)color(white)(2/2)|)))

"where A is a positive integer and B, C are integers"

"rearrange "y-5=4(x+2)" into this form"

rArry-5=4x+8

"subtract y from both sides"

cancel(y)cancel(-y)-5=4x-y+8

rArr-5=4x-y+8

"subtract 8 from both sides"

-5-8=4x-ycancel(+8)cancel(-8)

rArr4x-y=-13larrcolor(red)"in standard form"