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.
The slope, m, of a straight line is the measure of its steepness with respect to the x-axis. If (x1, y1) and (x2, y2) are two different points on a line, then the slope of the line is defined as:
m = (y2 - y1) / (x2 - x1) (provided x2 - x1 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.
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