3.7. Slope in the Coordinate Plane http://www.ck12.org
3.7 Slope in the Coordinate Plane
Here you’ll review how to calculate the slope of a line given two points on the line.
What if you wanted to compare the steepness of two roofs? After completing this Concept, you’ll be able to
determine the steepness of lines in the coordinate plane using what you learned in Algebra I about slope.
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CK-12 Foundation: Chapter3SlopeintheCoordinatePlaneA
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KhanAcademy: The Slope of aLine
Guidance
Recall from Algebra I, the slope of the line between two points(x 1 ,y 1 )and(x 2 ,y 2 ) ism=((xy 22 −−yx^11 )).
DifferentTypesofSlope:
Example A
What is the slope of the line through (2, 2) and (4, 6)?
Use the slope formula to determine the slope. Use (2, 2) as(x 1 ,y 1 )and (4, 6) as(x 2 ,y 2 ).
m=
6 − 2
4 − 2
=
4
2
= 2
Therefore, the slope of this line is 2. This slope is positive.