How do you identify the slope for #2x-3y=12#?

2 Answers
Apr 1, 2018

Answer:

Slope (#m#)=#2/3#

Explanation:

We can determine our slope by changing this equation to slope-intercept form, #y=mx+b#, where #m# is our slope.

We have

#2x-3y=12#

We can start by subtracting #2x# from both sides to get:

#-3y=-2x+12#

Our last step would be to divide both sides of the equation by #-3#. We get:

#y=2/3x-4#

When we're in slope-intercept form, the slope is the coefficient on the #x# term. We see that the coefficient of #x# is #2/3#, so this is the slope.

#m=2/3#

Hope this helps!

Apr 1, 2018

Answer:

#"slope "=2/3#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"rearrange "2x-3y=12" into this form"#

#rArr-3y=-2x+12larr"divide all terms by "-3#

#rArry=2/3x-4larrcolor(blue)"in slope-intercept form"#

#rArr"rslope m "=2/3#