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Aim: What is slope and how do we find it?
Do Now: What does slope mean? How do we find it? New Unit! Yay! ^_^
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What is Slope? The word slope (gradient, incline, pitch) is used to describe the measurement of the steepness of a straight line. The letter in math used for slope is m. You can think of it as the move.
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Slope Formula (xπ, yπ) (xπ, yπ) Slope = ππππ πππ = ππππππ ππ π ππππππ ππ π = ππβππ ππβππ
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To find the slope of a line
Select any two points on the line. Find the vertical change (rise). Find the horizontal change (run). Write the ratio of the rise to the run. You can also check by counting the lines!~
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Slope = πβ(β2) π β(βπ) Slope = π π Points (-1,-2) and (2,2)
Letβs find the slope. Points (-1,-2) and (2,2) (x1, y1) and (x2 , y2) Slope = ππβππ ππβππ Slope = πβ(β2) π β(βπ) Slope = π π
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Find the slope! m = π βπ = - 2 m = ππβππ ππβππ m= πβ(β2) π βπ
One more together! Find the slope! m = ππβππ ππβππ m= πβ(β2) π βπ m = π βπ = - 2
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Complete Slope Worksheet!
What do you notice about the lines and their slopes?
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Positive, negative, zero and undefined slope
Positive slope As points move from left to right along a line that is rising, y increases and x increases and the slope of the line is positive. Have students sketch it.
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Negative slope As points move from left to right along a line that is falling, y decreases as x increases and the slope of the line is negative.
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If a line is parallel to the x- axis, its slope is zero.
Zero Slope If a line is parallel to the x- axis, its slope is zero. The equation is written as y=
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If a line is parallel to the y- axis, itβs slope is undefined.
Undefined Slope If a line is parallel to the y- axis, itβs slope is undefined. The equation is written as x =
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Positive, negative, zero and undefined slope
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Textbook Page 361 # 3-8
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Exit Slip Find the slope and determine whether it is positive, negative, zero or undefined. (3,0) and (4,2)
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