2.2+Find+Slope+and+Rate+of+Change

2.2 Find Slope and Rate of Change

= = ** Slope of a Line ** __** Slope (word form)- **__ The slope //m// of a non-vertical change (the rise) to horizontal change (the run). __** Algebra (how to find slope)- **__



A video to help media type="youtube" key="9bm1_IJ00lQ" width="488" height="291" align="center"

Another video that helps explain media type="youtube" key="OjEKoXBZf7w" width="422" height="257" align="center"
 * Ex: **

=__ Classification of lines by slope __=



=__ Definitions __=
 * ====== **slope**-The ratio of vertical change (the rise) to horizontal change (the run) for a non-vertical line. ======
 * ====== **parallel-** Two lines in the same plane that do not intersect. ======
 * ====== **perpendicular-** Two lines in the same plane that intersect to form a right angle. ======
 * ====== **rate of change**- A comparison of how much one quantity changes, on average, relative to the change in another quantity. ======
 * ====== **reciprocal-** The reciprocal, or multiplicative inverse, of any non-zero number. ======

__ Slope of a Line Video __

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__ Rate of Change __ The slope can be used to represent an average rate of change, or how much a quantity changes, on average, relative to the changes in another quantity. A slope that is a real-life of change involves units of measure such as miles per hour or degrees per day.

__ [|Example website] __

__** KEY POINTS **__
 * ======** The rate of change is how much one quantity changes, on average, relative to the change in another quantity. **======
 * ======** A slope that is real-life rate of change involves units of measure such as mph or degress per day. **======
 * ======** Remember that a rate is a ratio of two quantities that have different units. **======

=__** Examples **__=

Todd had 5 gallons of gasoline in his motorbike. After driving 100 miles, he had 3 gallons left. The graph at the right shows Todd's situation. a. Find the slope of the line. b. What does this slope tell us? Since, we know that Todd's bike is burning .02 gallons of gasoline for every mile that he travels. The negative value of the slope tells us that the amount of gasoline in the tank is decreasing.

c. What is Todd's mpg? The tells us that Todd can drive 50 miles on one gallon of gasoline (an mpg of 50 miles per gallon).

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