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

1 Answer
Aug 5, 2015

Slope of 3x+y=73x+y=7 is -33

Explanation:

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

Method 2
3x+y=73x+y=7 can be converted into slope intercept form:
color(white)("XXXX")XXXXy = -3x +7y=3x+7
where a linear equation in slope-intercept form
color(white)("XXXX")XXXXy = mx +by=mx+b
color(white)("XXXX")XXXXcolor(white)("XXXX")XXXXhas a slope of mm
color(white)("XXXX")XXXXcolor(white)("XXXX")XXXXand a y-intercept of bb