
PreAlgebra Q2W6: Slope
Objective Students will be able to determine the slope of a line.
What is the meaning of this sign? Icy Road Ahead Steep Road Ahead Curvy Road Ahead Trucks Entering Highway Ahead
What does the 7% mean? 7% is the slope of the road. It means the road drops 7 feet vertically for every 100 feet horizontally. So, what is slope??? Slope is the steepness of a line.
Slope can be expressed different ways: A line has a positive slope if it is going uphill from left to right. A line has a negative slope if it is going downhill from left to right.
When given the graph, it is easier to apply “rise over run” 1) Determine the slope of the line. 6 3 run 3 6 = = rise Notice the slope is positive AND the line increases!
2) Find the slope of the line that passes through the points (2, 2) and (4, 1). When given points, it is easier to use the formula!
Did you notice that Example #1 and Example #2 were the same problem? (2, 2) and (4, 1) You can do the problems either way! Which one do you think is easiest?
Find the slope of the line that passes through (3, 5) and (1, 4). 4 4 ¼  ¼
Determine the slope of the line shown. 2 ½ ½ 2
Determine the slope of the line. The line is decreasing (slope is negative). 2 1 Find points on the graph. Use two of them and apply rise over run.
What is the slope of a horizontal line? The line doesn’t rise! All horizontal lines have a slope of 0.
What is the slope of a vertical line? The line doesn’t run! All vertical lines have an undefined slope.
Remember the word “VUXHOY” Vertical lines Undefined slope X = number; This is the equation of the line. Horizontal lines O  zero is the slope Y = number; This is the equation of the line.
Equation of a Line The most frequently used way to express the equation of a line is called “slopeintercept form.” slopeintercept form: y = mx + b The equation for this line would be y = 2x + 2
Summary: slope
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