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

2 Answers
Sep 26, 2016

Answer:

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

Explanation:

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

Sep 26, 2016

Answer:

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

Explanation:

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#