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What is the y-intercept for this linear equation #1/2x - 2/3y = -6#?

Answer 1

Ethan Adkins

The y-intercept is #9#

The y-intercept (the value where the equation's line crosses the y-axis) is the value of #y# when #x=0#.

#1/2x-2/3y = -6#

becomes #color(white)("XXXX")##-2/3y = -6# #rArr# #color(white)("XXXX")##y=9#

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Answer 2

Avery Alexander

To find the y-intercept of the linear equation 1/2x - 2/3y = -6, rearrange the equation into slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.

First, isolate y: -2/3y = -1/2x - 6

Then, multiply both sides by -3/2 to solve for y: y = (1/2)x + 9

The y-intercept (b) is 9.

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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.