### Linear formulas and equations: Linear functions

### Linear formula

Draw a graph for the formula:

\[y=3\cdot x+3\]

\[y=3\cdot x+3\]

First we create a table for this graph. For this, we substitute the #x#-values in the function. For #x=-4# we find #y=3\cdot \left(-4\right)+3=-9#. Other #x#-values work in the same manner, and can be found in the table below.

To compose the graph, we draw a coordinate system. Next, we draw the points from this table in the coordinate system, since these are points of the graph. The #x#-valus is shown on the horizontal axis and the #y#-value on the vertical axis. Next, these points are connected through a straight line. We then get the graph below. The points from the table are drawn in red. Please note that since we know that a linear formula has a straight line as graph, it is sufficient to draw just two points.

#x# | #-4# | #-3# | #-2# | #-1# | #0# | #1# | #2# | #3# | #4# |

#y# | #-9# | #-6# | #-3# | #0# | #3# | #6# | #9# | #12# | #15# |

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