How do you find the slope and intercept of #4x-1/3y=-2#?

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Answer 1 · 2016-01-26T10:40:20

#m=12# and #b=6#.

The equation of a line in slope-intercept form is #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

#4x-1/3y=-2#

To convert this equation to slope-intercept form, solve for #y#.

Subtract #4x# from both sides.

#-1/3y=-2-4x#

Simplify #-1/3y# to #-y/3#

#-y/3=-2-4x#

Multiply both sides times #3#.

#-y=-2(3)-4x(3)#

Simplify.

#-y=-6-12x#

Rearrange the right side.

#-y=-12x-6#

Multiply both sides times #-1#.

#y=12x+6#

#m=12# and #b=6#.