How do you find the slope-intercept of #y - 3/5x = -1#?

1 Answer
Jim G.
Aug 3, 2016

slope #=3/5#
y-intercept = - 1

Explanation:

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

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

The advantage to having the equation in this form is that m and b may be extracted 'easily'

Rearrange #y-3/5x=-1" into this form"#

add #3/5x" to both sides of the equation"#

#ycancel(-3/5x)cancel(+3/5x)=3/5x-1rArrcolor(red)(|bar(ul(color(white)(a/a)color(black)(y=3/5x-1)color(white)(a/a)|)))#

#rArr"slope" =3/5" and y-intercept" =-1#
graph{3/5x-1 [-10, 10, -5, 5]}

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