How do you find the intercepts for #y = x - 6#?

1 Answer
Jun 27, 2015

Answer:

The x-intercept is 6
The y-intercept is -6

Explanation:

The x-intercept is the value of #x# at the point where the line of the equation crosses the x-axis. Another way of saying this is that it is the value of #x# when #y=0# (since #y=0# is the equation of the x-axis).
For the equation:
#color(white)("XXXX")##y=x-6#
setting #y=0#
gives
#color(white)("XXXX")##0=x-6#
or
#color(white)("XXXX")##x=6#

Similarly the y-intercept is the value of #y# from the equation when #x=0#
#color(white)("XXXX")##y=x-6#
becomes
#color(white)("XXXX")##y=0-6#
or
#color(white)("XXXX")##y=-6#