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

Question

Kennedy Adams · Accepted Answer

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

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#

I hope this is useful.

Avery Alexander · Answer

#"slope "=2/3# #"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#

Eva Abramson · Answer

undefined To identify the slope of the equation 2x - 3y = 12, rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope:

1. Subtract 2x from both sides:
   -3y = -2x + 12

2. Divide both sides by -3:
   y = (2/3)x - 4/3

The coefficient of x, which is 2/3, represents the slope of the equation. Therefore, the slope is 2/3.