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Model Direct Variation

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Presentation on theme: "Model Direct Variation"— Presentation transcript:

1 Model Direct Variation

2 The Equation of Direct Variation
y = ax - y varies directly with x Constant of Variation - a is called the constant of variation. (Basically, a is slope) - a cannot be 0.

3 Important: For a relation to be considered a direct variation,
The Relation: - Must be linear - Must pass through the origin (O, O) (no intercept)

4 Graph the equation. y = 3x

5 Graph the equation. y = -4x

6 Graph the equation. y = 2x + 1

7 Write and graph a direct variation equation that has the given ordered pair as a solution.
(3, -9)

8 Write and graph a direct variation equation that has the given ordered pair as a solution.
(-7, 4)

9 Write and graph a direct variation equation that has the given ordered pair as a solution.
(5, 3)

10 Write and graph a direct variation equation that has the given ordered pair as a solution.
(6, -2)

11 The variables x and y vary directly
The variables x and y vary directly. Write an equation that relates x and y. Then find y when x = 12. x = 1, y = 2

12 The variables x and y vary directly
The variables x and y vary directly. Write an equation that relates x and y. Then find y when x = 12. x = -2, y = 5

13 The variables x and y vary directly
The variables x and y vary directly. Write an equation that relates x and y. Then find y when x = 12. x = 3, y = -2

14 The variables x and y vary directly
The variables x and y vary directly. Write an equation that relates x and y. Then find x when y = -4. x = 1, y = 2

15 The variables x and y vary directly
The variables x and y vary directly. Write an equation that relates x and y. Then find x when y = -4. x = -2, y = 5

16 Tell whether the equation represents direct variation
Tell whether the equation represents direct variation. If so, give the constant of variation. y = 2x – 1 y = 3x 2x + y = 0 y -1 = 2x 3y = 4x 3y -1 = x


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