Lesson Example Discussion Quiz: Class Homework |
Lesson |
Title: Slope & Line Segment |
Grade: 8-a Lesson: S1-L4 |
Explanation: Hello students, let us learn a new topic in algebra today with definitions, concepts, examples, and worksheets included. |
Lesson:
Definition: Slope of a Line |
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The slope of a line can be calculated using two points lying on a straight line. Given the coordinates of the two points, we can apply the slope of the line formula. Let the coordinates of those two points be, P1 = (x1, y1) P2 = (x2, y2) |
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Explanation: To find the slope of a line, use an equation. m = \$(y2 - y1)/(x2 - x1)\$ where m is the slope of the line. Also, the change in x is run and the change in y is rise or fall. Thus, we can also define a slope as, m = \$(rise)/(run)\$ |
Definition: Line Segment |
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A line segment has two definite endpoints in a line. The length of the line segment is fixed, which is the distance between two fixed points. The length here can be measured by metric units such as centimeters (cm), millimeters (mm), or conventional units like feet or inches. A line segment is usually represented by the bar symbol (—) on top of the end points. |
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Explanation: The line segment between (-2, -2) and (3, -3) is about √26 units long using the distance formula. Hint:\$√(x2 - x1)^2 + (y2 - y1)^2\$ |
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