How do you find the intercepts for #-x+y=3#?

1 Answer
Nov 4, 2016

Answer:

x-intercept: #(-3)#
y-intercept: #3#

Explanation:

The x-intercept is the value of #x# when #y=0#

Replacing #y# with #0# in #-x+y=3# gives
#color(white)("XXX")-x+0=3#

#color(white)("XXX")-x=3#

#color(white)("XXX")x=-3#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The y-intercept is the value of #y# when #x=0#

Replacing #x# with #0# in #-x+y=3# gives
#color(white)("XXX")-0+y=3#

#color(white)("XXX")y=3#