How do you find the intercepts for #x-y=1#?

1 Answer
Jun 23, 2015

Answer:

The x intercept is 1
The y intercept is (-1)

Explanation:

The value of the x-intercept is the value of #x# when #y=0#.
Stated another way, it is the value of #x# where the line of the equation crosses the x-axis (and all points on the x-axis have #y=0#).
To find the x-intercept, set any occurrences of #y# to #0# and solve for #x#
#color(white)("XXXX")##x-y = 1#
becomes
#color(white)("XXXX")##x-0 = 1#
or
#color(white)("XXXX")##x = 1#

Similarly the value of the y-intercept is the value of #y# when #x=0#.
To find the y-intercept, set any occurrences of #x# to #0# and solve for #y#.