How do you find the x and y intercepts for #3x+y=6#?

1 Answer
May 19, 2016

Answer:

x- intercept: #(2, 0)#
y-intercept: #(0, 6)#

Explanation:

The x-intercept is the point at which the graph crosses the x-axis. Therefore, the y-coordinate at this point is zero. Knowing this, we can plug in #0# for #y# and solve the equation for #x#:

#3x+y=6#
#3x+0=6#
#3x=6#
#x=2#
So, the x-intercept is at #(2, 0)#.

Likewise, the y-intercept is the point at which the graph crosses the y-axis, and therefore the x-coordinate will be #0#. So we plug in #0# for #x# and solve for #y#:

#3x+y=6#
#3(0)+y=6#
#0+y=6#
#y=6#
So, the y-intercept is at #(0, 6)#.