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How do you find the x and y intercepts of #3x+4y=12#?

Answer 1

Julia Adams

x and y intercepts of #3x+4y=12# is 4 and 3

subtitute #y=0# to find x intercepts

when #y=0#

#3x=12# #x=4#

x intercepts is 4

subtitute #x=0# to find y intercepts

when #x=0#

#4y=12# #y=3#

y intercepts is 3

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Answer 2

Abigail Allen

x-intercept: #4#
y-intercept: #3#

The x-intercept is the value of #x# when #y=0# (noting that #y=0# is the definition of the X-axis. #color(white)("XXX")3x+3color(red)(y)=12# when #color(red)(y)=color(red)(0)#

#color(white)("XXX")3x +4 * color(red)(0)=12#

#color(white)("XXX")x=4#

Similarly, the y-intercept is the value of #y# when #x=0# (definition of the Y-axis). #color(white)("XXX")3color(blue)(x)+4y=12# when #color(blue)(x)=color(blue)(0)#

#color(white)("XXX")3 * color(blue)(0) +4y=12#

#color(white)("XXX")y=3#

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Answer 3

Savannah Anderson

To find the x-intercept, set ( y = 0 ) and solve for ( x ). To find the y-intercept, set ( x = 0 ) and solve for ( y ).

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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.