How do you graph #y = 3x + 3#?

1 Answer

Answer:

Remember, #y=mx+c#.

Explanation:

The above formula is explained as such:
#y# is the #y#-value (duh).
#m# is the gradient, which is the rate at which your graph "climbs" the graph paper.
#x# is the #x#-value (also duh).
#c# is the #y#-intercept, which is the point where your graph crosses the #y#-axis.

So, how does one read the formula? It helps you find #y#, by substituting in any value of #x# into #x# in the formula.
For example, #y=6# when #x=1# (because #6=3*3+3#).

My suggestion to graphing #y=3x+3# is to find a whole bunch of values of #x# and #y# values, plotting them onto graph paper and then drawing a straight line through them.
If you applied the formula correctly, all the points will miraculously line up in a straight line!

graph{y=3x+3 [-10, 10, -5, 5]}

By applying the formula:
#y=mx+c#
#y=3x+3#

It was mentioned above that #c# is where the graph crosses the #y#-axis. The #c#-value in #y=3x+3# is 3, therefore you can see that the graph crosses the #y#-axis at 3.
If your drawn graph doesn't follow this explanation - seek teacher help immediately!

I hope this explanation helps :D