2.1 & 2.2 Review Chapter 2 Section 3

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Section 3 Direct Variation

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2.1 & 2.2 Review Chapter 2 Section 3 Algebra 2 Notes January 14, 2009

Warm-Ups 2.1 & 2.2 Review!! Find the slope of the line through following points: Find the x- and y- intercepts of the line: Write the same equation in standard form. Find the slope of the line perpendicular to

2.3 Direct Variation A linear function with an equation represents direct variation is called the constant of variation In other words, y varies directly with x. If x is doubled then y is doubled, if x is tripled then y is tripled, etc. Some real-world examples?

Identifying Direct Variation Determine if y varies directly with x If it does: What is the constant of variation, k? What is the equation of this function? x y 2 8 3 12 5 20

Identifying Direct Variation Determine if y varies directly with x If it does: What is the constant of variation, k? What is the equation of this function? x y 1 4 2 7 5 16

Identifying Direct Variation For each function, determine if y varies directly with x If it does: What is the constant of variation, k? What is the equation of the function? x y -6 -2 3 1 12 4 x y 1 4 2 7 5 16 x y 1 4 2 7 5 16

Identifying Direct Variation Reminder: a function with direct variation is in the form (Hint: what is the y-intercept??) Determine if each of these functions represents direct variation: If yes: Find the constant of variation, k

Use a Proportion In a direct variation function, all the x and y values are proportional to each other For example: x y -6 -2 3 1 12 4

Using a Proportions Suppose y varies directly with x, and x = 27 when y = -51. Find x when y = -17

More Proportions Find the missing value for each direct variation: If y = 4 when x = 3, find y when x = 6 If y = 10 when x = -3, find x when y = 2

What Did We Just Cover?? A direct variation function is represented by the equation Which means that the constant of variation is represented by the equation The x and y values in a direct variation function are directly proportional

Homework #6 Pg 74 #1-4, 11-14, 17, 19, 23- 25, 33, 34 READ EXAMPLE 3 ON PG 73 This will help you with #23 of your HW 2.1 – 2.3 QUIZ ON FRIDAY!!