How do you graph #7x+2y=6# using the intercepts?

1 Answer
May 19, 2017

Answer:

See below:

Explanation:

The intercepts are defined as #(x,0)# and #(0,y)#. That means that if we plug in #0# for #y#, when we solve for #x#, we'll get the x-intercept and vice versa.

So make #y=0#

#7x+2(0)=6#

Solve for #x#:

#7x=6#

#x=6/7#

Now make #x=0#:

#7(0)+2y=6#

Now solve for #y#:

#2y=6#

#y=3#

So now we have the points #(6/7,0)# and #(0,3)#. Now just connect the dots. Your graph will look something like this:

graph{7x+2y=6 [-10, 10, -5, 5]}