Lesson # 3 Graphing Linear Relations
If you are given an equation you have enough information to create a visual
representation of what that equation looks like
Example #1 & 2
Graph the following equations and Identify the y-intercepts.
y  2x  3
y  4x  2
What do you notice about the y-intercepts?
If you can create a graph from an equation, logic should dictate that you can create an
equation from a graph.
There are two components to a linear equation:
 Slope (m)
 Y-intercept (b)
The formula for a linear equation
y  mx  b
How do I solve for slope?

Select two points from either a graph or table of values and then plug into the
slope formula
Or

Figure it out by inspection slope is just
rise
run
How do I solve for the y-intercept?

Figure it out by inspection of a graph.
OR

Once you have the slope, take another set of coordinates from either the graph
or a table of values and plug it into the equation to solve for the y-intercept.
Example #3
Create an equation for the graph.
Example #4
Create an equation for the graph