What is the slope and intercept for 3x - y =13x−y=1 and how would you graph it?

1 Answer
Alan P.
Oct 8, 2015

Slope: 33
y-intercept: -1−1
x-intercept: 1/313

Explanation:

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

The y-intercept (if you didn't get it from the slope intercept form) is the value of yy when x=0x=0
color(white)("XXX")3(0)-y=1XXX3(0)−y=1
color(white)("XXX")y=-1XXXy=−1

The x-intercept is the value of xx when y=0y=0
color(white)("XXX")3x-(0)=1XXX3x−(0)=1
color(white)("XXX")x=1/3XXXx=13

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