Graphing linear equations

Linear equations can have one or more variables. Linear equations occur with great regularity in applied mathematics. While they arise quite naturally when modeling many phenomena, they are particularly useful since many non-linear equations may be reduced to linear equations by assuming that quantities of interest vary to only a small extent from some "background" state.


In the particular case that the line crosses through the graph, if the linear equation is written in the form y = f(x) then f has the properties:

y=2^x

x     y=2x             (x,y)
-------------------------------------------
-2       y=2-2=1/4     (-2,1/4)

-1       y=2-1=1/2     (-1/1/2)

0       y=20=1         (0,1)

1       y=21=2         (1,2)

2       y=22=4         (2,4)

3       y=23=8         (3,8)

Domain={0,1,2,3}

Range={1,2,4,8}

Let's draw the graph now

We can also go for line graph maker to get the graph.

We can also find the slope for the graph of the equation 2x+3y=8 in similar way.