What is the slope and intercept of #-12x-4y=2#?

1 Answer
May 18, 2016

Answer:

Slope: #(-3)#
y-intercept: #-1/2#

Explanation:

The easiest way to handle this question is to convert
the given equation: #-12x-4y=2#
into "slope-intercept" form:
#color(white)("XXX")y=color(green)(m)x+color(blue)(b)# with slope #color(green)(m)# and y-intercept #color(blue)(b)#

#-12x-4y=2#
#color(white)("XXX")rarr -4y=12x+2#

#color(white)("XXX")rarr y=color(green)(-3)xcolor(blue)(-1/2)#
which is in slope-intercept form with slope #color(green)(""(-3))# and y-intercept #color(blue)(""(-1/2))#

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If the x-intercept is also required,
it can be found by setting #y=0# in the original equation
and solving for #x#
#color(white)("XXX")-12x-4(0)=2#

#color(white)("XXX")rarr x=-1/6#