How do you find the slope of 4x - 3y = 3?

1 Answer
Alan P.
Feb 5, 2016

Slope: 4/3

Explanation:

For a linear equation in standard form:
color(white)("XXX")Ax+By=C
the slope can be derived by the formula
color(white)("XXX")m=-A/B
In this case A=4, B=-3 so m=-4/(-3) = 4/3

Alternately, if you don't remember this formula
you could convert the equation into slope-intercept form:
color(white)("XXX")y=mx+b with slope m and y-intercept b
In this case
color(white)("XXX")4x-3y=3
color(white)("XXX")rarr -3y=-4x+3
color(white)("XXX")rarr y =4/3x-1
given the slope m=4/3 (and y-intercept (-1))

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