How do you graph the line #x/y = 6#?

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Answer 1 · 2017-06-28T14:42:15

See below

Let's multiply both sides of the equation by #y#.

#x=6y#

Now, let's solve for #y# by dividing both sides of the equation by #6#.

#y=x/6#

To graph the line you can choose a few values for #x# and compute #y# and then plot the ordered pairs.

Another way is to find the x-intercept, set #y=0#, and the y-intercept, set #x=0#.

If we do this, you can see that the y-intercept is:

#y=0/6=0#

#(0,0)# which is the origin.

The x-intercept is:

#0=x/6#

#(0,0)# the origin once again, which shouldn't be surprising.

The graph looks like:

graph{x/y=6 [-10, 10, -5, 5]}