What is the slope and y intercept of # 5x - 3y = 30#?

1 Answer
Oct 4, 2015

Answer:

The slope is #5/3#.
The y-intercept is #-10#.

Explanation:

#5x-3y=30# is the standard form for a linear equation. The slope-intercept form is #y=mx+b#, where #m# is the slope, and #b# is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for #y#.

#5x-3y=30#

Subtract #5x# from both sides of the equation.

#-3y=30-5x#

Divide both sides by #-3#.

#y=(30)/(-3)-(5x)/(-3)=#

#y=-10+5/3x#

Rearrange the right hand side.

#y=5/3x-10#

#m=5/3,# #b=-10#

graph{y=5/3x-10 [-10, 10, -5, 5]}