How do you find the slope of 8x - 3y = -5?

1 Answer
Alan P.
Aug 8, 2015

The slope of #8x-3y=-5# is #8/3#

Explanation:

Method 1
For a linear equation in standard form
#color(white)("XXXX")##Ax+By=C#
the slope is given by the equation
#color(white)("XXXX")##m=-A/B#

In this case that becomes
#color(white)("XXXX")##m= - 8/(-3) = 8/3#

Method 2 (more common, but more work)
Convert the equation into "slope-point form":
#color(white)("XXXX")##y = mx+b#
#color(white)("XXXX")##color(white)("XXXX")#with a slope of #m# and a y-intercept of #b#

#8x-3y = -5#

#rarr##color(white)("XXXX")##-3y = -8x -5#

#rarr##color(white)("XXXX")##y = 8/3x +5/3#

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