SLOPE

GRAPH a diagram showing the relation between variable quantities

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

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

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

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

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

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

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

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

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

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).

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

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

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

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