Unit 5  Objective 2  Graphs or Linear Equations
To graph a linear equation, you can plot two points in order to sketch it. The x and y intercepts are often the easiest two points to determine and use when graphing a linear equation.
Example:

The slope, m, of a straight line is the measure of its steepness with respect to the xaxis. If (x_{1}, y_{1}) and (x_{2}, y_{2}) are two different points on a line, then the slope of the line is defined as:
m = (y_{2}  y_{1}) / (x_{2}  x_{1}) (provided x_{2}  x_{1} 0)
The slope is referred to as the "rise over the run" or rise/run. The rise means vertical change and run means horizontal change, left to right. Solving an equation for y puts it in y=mx+b form where the slope is the coefficient of x.
Examples:

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