How do you find the x and y intercepts of #14-3x=7y#?

1 Answer
Feb 14, 2017

Answer:

x-intercept: #-14/3color(white)("XXX")#y-intercept: #2#

Explanation:

For all points on the Y-axis, #x=0#
The y-intercept is the value of #y# where the graph of the relation crosses the Y-axis.
Stated another way, the y-intercept is the value of #y# given by the relationship when #x=0#
If #color(red)x=color(red)0#
then #14-3color(red)x=7y#
#rarr 14=7y#
#rarr y=2#
So the y-intercept is #2# (that is the point #(x,y)=(0,2)#)

Similarly the x-intercept is the value of #x# given by the relationship when #y=0#
If #color(blue)y=color(blue)0#
then #14-3x=7color(blue)y#
#rarr 14-3x=0#
#rarr x=-14/3#
So the x-intercept is #-14/3# (that is the point #(x,y)=(-14/3,0)#)