Graphing Lines - Slope The slope of a line measures the...

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Slope The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". any units you move up or down from point to point. On the graph that would be a change in the y values. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values . Here are some visuals to help you with this definition: Positive slope: Note that when a line has a positive slope it goes up left to right. Negative slope:
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Note that when a line has a negative slope it goes down left to right. Zero slope: slope = 0 Note that when a line is horizontal the slope is 0. Undefined slope:
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slope = undefined Note that when the line is vertical the slope is undefined. Here is a little review on the slope/intercept form of the equation of a line. If you need more of a review on slope, feel free to go to Tutorial 26: Equations of Lines . Slope/Intercept Equation of a Line If your linear equation is written in this form, m represents the slope and b represents the y -intercept. This form can be handy if you need to find the slope of a line given the equation. Graphing a Line Using the y -intercept and Slope Step 1: Put the equation in slope/intercept form ( ) and identify
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the slope and y -intercept. When it is in this form it makes it easier to identify the slope and the y - intercept of the line. In this form, the slope is m , which is the coefficient in front of x and the y -intercept is the constant b . Step 2: Plot the y -intercept on a 2-dimensional graph. Recall that the y -intercept is where it crosses the y -axis. So x 's value will be 0. If you need more review on intercepts, feel free to go to Tutorial 26: Equations of Lines . Step 3: Use the slope to find a second point on the line. You will start with the y -intercept and rise up or down and then run left or right depending on the sign of the slope. Use the concept of slope being rise over run (rise/run) to determine how to use the slope to find your second point. What do you think is the positive direction for rise, up or down? If you said up, pat yourself on the back. That means down is the negative direction for rise. A way to remember this is to think about the numbers are on the y -axis. Going up above the origin are the positive values, and going down below the origin are the negative values. What do you think is the positive direction for run, right or left? If you said right, pat yourself on the back. That means left is the negative direction for run. A way to remember this is to think about the numbers are on the x -axis. Going to the right of the origin are the positive values, and going to the left of the origin are the negative values. If the slope is positive
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Graphing Lines - Slope The slope of a line measures the...

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