How do you find the slope and intercept of #3x-y=5#?

1 Answer
Jim G.
Mar 3, 2017

#"slope "=3," y-intercept "=-5#

Explanation:

The equation of a line in #color(blue)"slope-intercept form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))#
where m represents the slope and b, the y-intercept.

#"Rearrange " 3x-y=5" into this form"#

add y to both sides.

#3xcancel(-y)cancel(+y)=y+5#

#rArry+5=3x#

subtract 5 from both sides.

#ycancel(=5)cancel(-5)=3x-5#

#rArry=3x-5larrcolor(red)"in form " y=mx+b#

#"by comparison, slope "=3" and y-intercept "=-5#

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