How do you find the slope of 2x+y=3?

Answer 1

The slope of #2x+y=3# is #-2#

Method 1: The slope of the linear equation #color(white)("XXXX")##Ax+By=C# in standard form can be found using the equation #color(white)("XXXX")##m=-A/B#.

This turns into #color(white)("XXXX")##m= - 2/1 = -2# in this instance.

Method 2: Using the "slope-point form" approach, take the equation and put it in the following form: #color(white)("XXXX")##y = mx+b# #color(white)("XXXX")##color(white)("XXXX")# with a y-intercept of #b# and a slope of #m#.

#2x + y = 3#

#rarr##y = -2x+3# #color(white)("XXXX")

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Answer 2

Hazel Anglin

To find the slope of the equation 2x + y = 3, rearrange it into slope-intercept form (y = mx + b), where m is the slope. Subtract 2x from both sides to isolate y, giving you y = -2x + 3. The slope (m) is -2.

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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.