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

##### 1 Answer

Mar 3, 2017

#### 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#