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SLOPE.

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Presentation on theme: "SLOPE."— Presentation transcript:

1 SLOPE

2 GRAPH a diagram showing the relation between variable quantities

3 X - INTERCEPT The point where a line crosses the x-axis

4 Y - INTERCEPT The point where a line crosses the y-axis

5 SLOPE The ratio of vertical change to horizontal change between 2 points on a line

6 VERTICAL CHANGE At right angles to a horizontal plane; in a direction such that the top is directly above the bottom

7 HORIZONTAL CHANGE Parallel to the plane of the horizon; at right angles to the vertical

8 PROPORTIONAL RELATIONSHIP
+14 means NOT proportional; Line does not go thru zero 4 x 4 = 16 7 x 4 is NOT = 22 NOT proportional Comparison of two equal ratios

9 CONSTANT OF PROPORTIONALITY
 If a quantity x is proportional (directly) to another quantity y, then x is written as Y = kX, where k is called the Constant of Proportionality

10 SIMILAR TRIANGLES Triangles are similar if they have the same shape, but can be different sizes  𝟏𝟐 𝟏𝟖 = 𝟔 𝟗 = 𝟐 𝟑

11 SLOPE FORMULA After “counting” slope many times, mathematicians discovered the “shortcut” or formula

12 LINEAR EQUATION Sometimes, slope can be found in an equation, a mathematical sentence that says two things are EQUAL. We called this k (constant of proportionality). Now, we call it m (slope).

13 TABLE We can also find slope from a TABLE, a set of numbers (points) systematically displayed, especially in columns

14 UNIT RATE Comparison of two different quantities when they are combined together; also called rate of change = slope

15 SPEED The rate at which someone or something is able to move; rate of change = slope

16 TYPES OF SLOPE Y = 2X + 2 Y = -2X + 2 Y = 5 X = 5


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