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

1 Answer
Feb 5, 2016

Answer:

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)#)