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#