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Direct Variation Equations and Slope Calculation Drill

Practice finding slopes of lines passing through pairs of points, determining values for given slopes, writing direct variation equations, and solving problems involving direct variation. Topics include slope, constant of variation, graphing direct variation equations, and real-world examples.

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Direct Variation Equations and Slope Calculation Drill

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  1. 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

  2. Drill #62 4-2 Skills Practice #1 – 6

  3. 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.

  4. (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.

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

  6. 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.

  7. (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:

  8. 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

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

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