What are the intercepts for #3x – y = –2#?

1 Answer
Alan P.
Oct 1, 2015

x-intercept: #-2/3#

y-intercept: #2#

Explanation:

The x-intercept is the value of #x# when #y=0# (i.e. where the equation crosses the X-axis, since #y=0# for all point along the X-axis)
#color(white)("XXXXX")3x - (0) = -2#
#color(white)("XXX")rarr x = -2/3#

Similarly, the y-intercept is the value of #y# when #x=0#
#color(white)("XXXXX")3(0)-y=-2#
#color(white)("XXX")rarr y = 2#

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