How do you find the slope and intercept of #-2x+3y-6=0#?

2 Answers
Jim G. · Stefan V.
Feb 20, 2016

slope # = 2/3# , y-intercept = 2

Explanation:

One form of the equation of a straight line is y = mx + c , where m represents the gradient (slope) of the line and c , the y-intercept.
What makes this form useful is that m and c may be extracted quite 'easily'.

Rearrange - 2x + 3y - 6 = 0 into this form.

hence: 3y = 2x + 6

divide both sides by 3 to obtain # y = 2/3 x + 2#

#rArr "slope" = 2/3 " and y-intercept" = 2#

Shwetank Mauria
Feb 20, 2016

Slope of the given equation is #2/3# and intercept on #y# axis is 2.

Explanation:

#-2x+3y-6=0# can be expressed as #3y=2x+6# or
#y=2x/3+2#. As a linear equation in slope intercpt form #y=mx+c# has #m# as slope and #c# as intercept on #y# axis, slope of the given equation is #2/3# and intercept on #y# axis is 2.

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