Graph the function y=2/3x−1. I can't seem to remember how to do this. Can somebody refresh me plz?

1 Answer
Feb 21, 2018

See the explanation below!

Explanation:

Remember, two points are enough to draw a straight line in #xy-\text{plane}#.

So, just pick some radom value of #x# and put it in the equation to get the corresponding value of #y#. Just record this order pair and find another one just like this.

Then locate and graph these two points on the graph paper to connect the two points by a ruler. That's it!

# #
Put #x=0# in the equation and we will get:

#y=2/3(0)-1#

Simplify:

#y=-1#

The first point is #(0\ ,\ -1)#

Now simply put #y=0# to get:

#0={2x}/3-1#

Solve for #x# to get:

#x=3/2# #\ \ \ #or #\ \ \ # #x=1.5#

The second point is #(3/2\ ,\ 0)#

Just locate these two points on the graph and then connect them by a line to get:

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