Drill #61 Find the slope of the line that passes through each pair of points: 1.( 6, -4 ), ( 8, -7 ) 2.( 8, 5 ), ( 8, -1) Determine the value of r so that.

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Drill #61 Find the slope of the line that passes through each pair of points: 1.( 6, -4 ), ( 8, -7 ) 2.( 8, 5 ), ( 8, -1) Determine the value of r so that the line that passes through each pair of points has the given slope: 3. (3, r), (1, 2), m = 2 4. (1, r), (9, 7), m = ¾

Drill # Skills Practice #1 – 6

4-2 Slope and Direct Variation Objective: To write and graph direct variation equations, and to solve problems involving direct variation. Open books to page 196.

(1.) Direct Variation and (2.) Constant of Varitation** (1.) Direct Variation: A relationship that can be described by the equation y = kx where k = 0. Direct variation equations are proportional. (2.) Constant of Variation: The constant k in a direct variation equation.

Slope and Constant Variation* Ex1: Classwork: 4-2 Study Guide #1 – 3

Graph a Direct Variation* To graph a direct variation equation Plot a point at the origin From the origin use the slope (rise over run) to plot a second point. Connect the dots (and draw arrows) Ex2a, b. 2A, B, C, D: Check your progress.

(3.) Family of graphs and (4.) parent graph (3.) Family of graphs: A set of graphs and equations that have at least one characteristic in common. (4.) Parent graph: The simplest graph in a family of graphs. Ex2:

Write and Solve Direct Variation Equations* To write and solve direct variation equations you need to find the constant of variation k. Ex3a, b. Classwork: 4-2 Skills Practice #7-12

Real World Example* Ex4: Biology, pg 199 4A, B, C.