What are the intercepts of #-4x-12y=9#?

1 Answer
Jan 31, 2016

Answer:

x-intercept#=(-9/4,0)#
y-intercept#=(0,-3/4)#

Explanation:

Finding the x-intercept
To find the x-intercept, substitute #y=0# into the equation, since the x-intercept of the linear equation will always have a y-coordinate of #0#.

#-4x-12y=9#

#-4x-12(0)=9#

#-4x=9#

#color(green)(x=-9/4)#

Finding the y-intercept
To find the y-intercept, substitute #x=0# into the equation, since the y-intercept of the linear equation will always have an x-coordinate of #0#.

#-4x-12y=9#

#-4(0)-12y=9#

#-12y=9#

#y=-9/12#

#color(green)(y=-3/4)#

#:.#, the x-intercept is #(-9/4,0)# and the y-intercept is #(0,-3/4)#.