Lines and Slope: Graphing Lines Using Slope–Intercept Form

Slope–intercept form of a line: given the slope and the intercept (the intersection of the line and -axis) , then the equation of the line is:

-  To draw the graph of a linear equation in a slope-intercept form on the coordinate plane, find two points on the line by plugging two values for and calculating the values of .
-  You can also use the slope () and one point to graph the line.

Example:
Sketch the graph of .

Solution: To graph this line, we need to find two points. When is zero the value of is .

And when is the value of is .

Now, we have two points:

and
Find the points on the coordinate plane and graph the line. Remember that the slope of the line is .