What are the intercepts of #2x-3y=-7#?

1 Answer
Apr 5, 2016

Answer:

x-intercept: #-7/2=-3 1/2#

y-intercept: #7/3 = 2 1/3#

Explanation:

The x-intercept is the value of #color(blue)(x)# when #color(red)(y=0)#
#color(white)("XXX")2color(blue)(x)-3(color(red)(0))=-7#

#color(white)("XXX")2color(blue)(x)=-7#

#color(white)("XXX")color(blue)(x)=-7/2#

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The y-intercept is the value of #color(red)(y)# when #color(blue)(x=0)#
#color(white)("XXX")2(color(blue)(0))-3(color(red)(y))=-7#

#color(white)("XXX")-3(color(red)(y))=-7#

#color(white)("XXX")color(red)(y) = 7/3#