How do you find the slope and intercept of #4x = 3y + 6#?

1 Answer
Alan P.
Feb 7, 2016

Slope: #4/3#
y-intercept: : #(-2)#
x-intercept: #3/2#

Explanation:

A linear equation in standard form: #Ax+By=C#
has a slope of #(-A/B)#

Re-writing #4x=3y+6# into standard form:
#color(white)("XXX")4x-3y=6#
#rarr# slope #= -4/(-3) = 4/3#

The y-intercept is the value of #y# when #x=0#
#color(white)("XXX")4xx0 = 3y+6#
#rarr y=-2#

The x-intercept is the value of #x# when #y=0#
#color(white)("XXX")4x=3xx0+6#
#rarr x=6/4=3/2#

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