How do you find the slope of 3x+y=7?

1 Answer
Alan P.
Aug 5, 2015

Slope of #3x+y=7# is #-3#

Explanation:

Method 1
The slope of a linear equation in standard form:
#color(white)("XXXX")##Ax+By = C#
is #-A/B#

Method 2
#3x+y=7# can be converted into slope intercept form:
#color(white)("XXXX")##y = -3x +7#
where a linear equation in slope-intercept form
#color(white)("XXXX")##y = mx +b#
#color(white)("XXXX")##color(white)("XXXX")#has a slope of #m#
#color(white)("XXXX")##color(white)("XXXX")#and a y-intercept of #b#

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