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What is the slope and x intercept of the line #3x - 2y = 12#?

Answer 1

Kennedy Adams

Need to format the equation in #y=mx + b #.

#3x−2y = 12#

#3x -12 = 2y#

#y = 3/2x -12/2#

#y = 3/2x -6#

The slope is #3/2# or #1 1/2#. The #x#-intercept is at #y = 0#, hence

#2y = 3x -12#

#2(0) = 3x -12#

#0 = 3x - 12" "# (isolate #x# for the intercept)

#12 = 3x #

#12/3 = (3x)/3#

#4 = x #

The intercepts are

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Answer 2

Julia Adams

To find the slope and x-intercept of the line 3x - 2y = 12, rearrange the equation into slope-intercept form, which is y = mx + b. Then, identify the coefficient of x as the slope, and solve for the x-intercept by setting y = 0 and solving for x. So, the slope is 3/2, and the x-intercept is 4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.