What are the intercepts of #3x+2y=14#?

1 Answer
Jan 11, 2016

Answer:

The intercepts are at
#color(white)("XXX")(0,7)# (the y-intercept)
and
#color(white)("XXX")(14/3,0)# (the x-intercept)

Explanation:

For all values on the Y-axis: #x=0#
Replacing #x# with #0# in the given equation:
#color(white)("XXX")3(0)+2y=14#

#color(white)("XXX")rarr y=7#
So the y-intercept is #7# (i.e. it is at #(0,7)#)

For all values on the X-axis: #y=0#
Replacing #y# with #0# in the given equation:
#color(white)("XXX")3x+2(0)=14#

#color(white)("XXX")rarr x= 14/3#
So the x-intercept is #14/3# (i.e. it is at #(14/3,0)#)