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Do Now – Algebra I Hand in your Project Packets Chapter 3 Use the Slope Formula to find the slope based on the two given points. (2, -3) (5, 10)
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4.1 – A formula for Slope What is slope? –S–Slope reflects on the tilt of a linear function. –A–Another name for slope is rate of change. What does a bigger slope mean? –T–The bigger the slope, the steeper the line. –T–The smaller the slope the more shallow the line.
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x y m > 0 Line rises from left to right. x y m = 0 Line is horizontal. m is undefined x y Line is vertical. x y m < 0 Line falls from left to right. m = 2 0 Positive: If a line rises from left to right, then the slope has to be positive. Negative: If a line falls from left to right, then the slope has to be negative. Zero Slope: The line is horizontal. No Slope or “Undefined Slope”: The line is vertical. Types of Slopes
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Methods to Find Slope Methods for finding slope: Slope Formula: Triangle Method: L1L1 L2L2
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Examples Example #1) Example #2) Example 3Example 4
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Examples Given one point and the slope find another point Example #1)Example #2) (7, 10); slope 5/3(-2, 6); slope -1/4 y + ∆y = 10 +5 = 15y + ∆y = 6 +(-1) = 5 x + ∆x = 7 + 3 = 10x + ∆x = -2 + 4 = 2
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