What is the slope and y-intercept of the line 2x - 3y = -18?

Answer 1

slope #=2/3#
and\y-intercept #= 6#

Slope For an equation in the form: #color(white)("XXXX")##Ax+By=C# the slope is #color(white)("XXXX")##m = -A/B# for the given equation #2x-3x=-12# this becomes #color(white)("XXXX")##m = 2/3#
Alternatively we could rewrite the given equation #2x-3y =-18# into "slope intercept" form: #color(white)("XXXX")##y = mx+b# #color(white)("XXXX")##color(white)("XXXX")##color(white)("XXXX")#where #m# is the slope and #b# is the y-intercept #color(white)("XXXX")#2x-3y = -18#
#rarr##color(white)("XXXX")##-3y = -2x-18#
#rarr##color(white)("XXXX")##y = 2/3x +6#
y-intercept If you rewrote the equation in "slope intercept form" (see above) the slope can be read directly from the equation as #color(white)("XXXX")##m = 6#
Otherwise note that the y-intercept is the value of #y# when #x=0# in the equation: #color(white)("XXXX")##2(0)-3y = -18# #rarr##color(white)("XXXX")##y = 6#
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Answer 2

To find the slope and y-intercept of the line 2x - 3y = -18, first, rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

2x - 3y = -18 -3y = -2x - 18 Divide both sides by -3: y = (2/3)x + 6

The slope (m) of the line is 2/3, and the y-intercept (b) is 6.

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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.

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.

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.

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.

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