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Write and graph a direct variation equation

EXAMPLE 1. Write and graph a direct variation equation. Write and graph a direct variation equation that has (– 4, 8) as a solution. SOLUTION. Use the given values of x and y to find the constant of variation. y = a x. Write direct variation equation. 8 = a ( – 4 ).

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Write and graph a direct variation equation

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  1. EXAMPLE 1 Write and graph a direct variation equation Write and graph a direct variation equation that has (– 4, 8) as a solution. SOLUTION Use the given values of xand yto find the constant of variation. y= ax Write direct variation equation. 8 = a(– 4) Substitute 8 for yand – 4 for x. –2= a Solve for a.

  2. ANSWER Substituting – 2 for ain y = axgives the direct variation equation y = – 2x. Its graph is shown. EXAMPLE 1 Write and graph a direct variation equation

  3. (3, – 9) for Example 1 GUIDED PRACTICE Write and graph a direct variation equation that has the given ordered pair as a solution. SOLUTION Use the given values of xand yto find the constant of variation. y= ax Write direct variation equation. –9 = a(3) Substitute –9 for yand 3 for x. –3= a Solve for a.

  4. ANSWER Substituting – 3 for ain y = axgives the direct variation equation y = – 3x. Its graph is shown. for Example 1 GUIDED PRACTICE

  5. (– 7, 4) – 4 = a 7 for Example 1 GUIDED PRACTICE Write and graph a direct variation equation that has the given ordered pair as a solution. SOLUTION Use the given values of xand yto find the constant of variation. y= ax Write direct variation equation. 4 = a(– 7) Substitute 4 for yand –7 for x. Solve for a.

  6. ANSWER – 4 Substituting for ain y = axgives the direct variation equation y = x. Its graph is shown. 7 – 4 7 for Example 1 GUIDED PRACTICE

  7. (5, 3) 3 = a 5 for Example 1 GUIDED PRACTICE Write and graph a direct variation equation that has the given ordered pair as a solution. SOLUTION Use the given values of xand yto find the constant of variation. y= ax Write direct variation equation. 3 = a(5) Substitute 3 for yand 5 for x. Solve for a.

  8. ANSWER 3 Substituting for ain y = axgives the direct variation equation y = x. Its graph is shown. 5 3 5 for Example 1 GUIDED PRACTICE

  9. (6, – 2) – 1 = a 3 for Example 1 GUIDED PRACTICE Write and graph a direct variation equation that has the given ordered pair as a solution. SOLUTION Use the given values of xand yto find the constant of variation. y= ax Write direct variation equation. – 2 = a(6) Substitute –2 for yand 6 for x. Solve for a.

  10. ANSWER – 1 Substituting for ain y = axgives the direct variation equation y = x. Its graph is shown. 3 – 1 3 for Example 1 GUIDED PRACTICE

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