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

1 Answer
Jun 20, 2016

Answer:

slope #=-4#
y-intercept #=0#
(x-intercept #=0#)

Explanation:

The general slope-intercept form is
#color(white)("XXX")y=color(green)(m)x+color(blue)(b)#
with a slope of #color(green)(m)# and a y-intercept of #color(blue)(b)#

#y=-4x# is equivalent to #y=(color(green)(-4))x+color(blue)(0)#
which is the slope-intercept form
with slope #(color(green)(-4))#
and y-intercept #color(blue)(0)#

To determine the x-intercept, note that the x-intercept is the value of #x# when #y=0#
#color(white)("XXX")y=-4x# evaluated with #y=0#
#color(white)("XXX")#implies #x=0#