How do you find the x and y intercept given #x-y=4#?

1 Answer
Mar 9, 2018

Answer:

x-intercept at #x=4#
y-intercept at #y=-4#

Explanation:

The x-intercept (point where a graph of the function crosses the X-axis) is the value of #x# when #y=0# (since for all points on the X-axis, #y=0#)
#x-y=4# with #y=0rarr x-0=4 rarr x=4#

Similarly, the y-intercept it the value of #y# when #x=0#
#x-y=4# with #x=0rarr 0-y=4 rarr y=-4#

Note: some instructors prefer to have the x and y intercepts written as coordinate pairs; in this case:
x-intercept is at #(4,0)#
and
y-intercept is at #(0,-4)#