What are the intercepts of #3x+9y=-12#?

1 Answer
Feb 25, 2016

Answer:

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

Explanation:

Th x-intercept is the point where a graph of the line crosses the X-axis; since all points on the X-axis (and only those points) #y=0#,
another way of saying this is that the x-intercept is the value of #x# when #y=0#
#color(white)("XXX")color(red)(3x+9xx0=-12) rarr color(blue)(3x=-12) rarr color(green)(x=-4)#

Similarly the y-intercept is the value of #y# when #x=0#
#color(white)("XXX")color(red)(3xx0+9y=-12)rarrcolor(blue)(9y=-12)rarrcolor(green)(y=-4/3)#