How do you find the slope and y intercept for: #6x - 3y=18 #?

1 Answer
Oct 9, 2015

Answer:

Slope: #2#
y-intercept: #-6#

Explanation:

Method 1
For a linear equation in the standard form #Ax+By=C#
the slope is #m=-A/B#
In this case
#color(white)("XXX")m=-6/(-3) =2#

The y-intercept is the value of #y# when #x=0#
#color(white)("XXX")6(0)-3y=18#
#color(white)("XXX")rarr y=-6#

Method 2
Convert #6x-3y=18# into slope-intercept form: #y=color(red)(m)x+color(blue)(b)#
#color(white)("XXX")6x-3y=18#

#color(white)("XXX")rarr-3y=-6x+18#

#color(white)("XXX")rarr y=color(red)(2)x+color(blue)((-6))#