What is the slope and intercept for #3x - y =1# and how would you graph it?

1 Answer
Alan P.
Oct 8, 2015

Slope: #3#
y-intercept: #-1#
x-intercept: #1/3#

Explanation:

To determine the slope
Either
a. Remember that if #Ax+By=C# then the slope is #-A/B#
or
b. Rewrite the equation in slope-intercept form:
#color(white)("XXX")y=3x-1# (with a slope #m=3# and y-intercept #(-1)#

The y-intercept (if you didn't get it from the slope intercept form) is the value of #y# when #x=0#
#color(white)("XXX")3(0)-y=1#
#color(white)("XXX")y=-1#

The x-intercept is the value of #x# when #y=0#
#color(white)("XXX")3x-(0)=1#
#color(white)("XXX")x=1/3#

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