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EXAMPLE 2

2. 2. 3. 3. a. b. y = –3 x. y = x. SOLUTION. a. Plot a point at the origin. The slope is equal to the constant of variation, or . Find and plot a second point, then draw a line through the points. EXAMPLE 2. Graph direct variation equations.

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EXAMPLE 2

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  1. 2 2 3 3 a. b. y = –3x y= x SOLUTION a. Plot a point at the origin. The slope is equal to the constant of variation, or . Find and plot a second point, then draw a line through the points. EXAMPLE 2 Graph direct variation equations Graph the direct variation equation.

  2. b. Plot a point at the origin. The slope is equal to the constant of variation, or –3. Find and plot a second point, then draw a line through the points. EXAMPLE 2 Graph direct variation equations

  3. a. Write the direct variation equation. Find the value of ywhen x = 30. b. SOLUTION a. Becauseyvaries directly withx,the equation has theformy = ax.Use the fact thaty = 2whenx = –1to finda. EXAMPLE 3 Write and use a direct variation equation The graph of a direct variation equation is shown. y=ax Write direct variation equation. 2=a (–1) Substitute. –2=a Solve for a.

  4. ANSWER A direct variation equation that relates x and yis y = –2x. EXAMPLE 3 Graph direct variation equations b. Whenx = 30, y = –2(30) = –60.

  5. ANSWER for Examples 2 and 3 GUIDED PRACTICE 4. Graph the direct variation equation. y = 2x

  6. 3 ANSWER y= x; 36 2 for Examples 2 and 3 GUIDED PRACTICE 5. The graph of a direct variation equation passes through the point (4, 6). Write the direct variation equation and find the value of y when x = 24.

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