How do you find the slope and y intercept of #3x - 2y = 12#?

2 Answers
Nghi N.
May 18, 2015

3x - 2y = 12

#2y = 3x - 12 -> y = (3x)/2 - 6#

Slope: 3/2

y-intercept. Make x = 0 -> y = -6.

Meave60
May 18, 2015

Problem: Find the slope and y intercept of #3x-2y=12# .

The slope-intercept form of a linear equation is #y=mx+b#, where #m# is the slope and #b# is the y-intercept. Rearrange the equation so that it fits the slope-intercept form.

Subtract #3x# from both sides of the equation.

#-2y=-3x+12#

Multiply times both sides times #-1# .

#2y=3x-12#

Divide both sides by #2#.

#y=3/2x-6#

#y=mx+b#

Slope, #m#, is #3/2#;

y-intercept, #b#, is #-6#

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