What is the slope-intercept form of #6x+3y=8 #?

1 Answer
Feb 15, 2016

#y=-2x+8/3#

Explanation:

The slope-intercept form is
#color(white)("XXX")y=color(blue)(m)x+color(red)(b)#
for a linear equation with a slope of #color(blue)(m)# and a y-intercept of #color(red)(b)#

Given
#color(white)("XXX")6x+3y=8#

Subtract #6x# from both sides
#color(white)("XXX")3y=-6x+8#

Divide both sides by #3#
#color(white)("XXX")y=color(blue)(-2)x=color(red)(8/3)#