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Fill in the missing numbers to complete the linear equation that gives the rule for this table.
х y
2 -36
3 -33
4 -30
5 -27

Y= ___x - ___

Respuesta :

Answer:

y = 3x - 42

Step-by-step explanation:

  • The equation of a line if y = mx + c
  • First, choose two of the x values with their respective y values
  • I’ll choose 2 & -36 and 3 & -33
  • We need to find the gradient of this line (which is the m in y = mx + c)
  • We can do this by finding the difference in the y values and divide this by the difference in the x values
  • So this would be [tex]\frac{-33--36}{3-2} = \frac{3}{1}=3[/tex]
  • So far we have y = 3x + c
  • Using one of the x values and their respective y value, substitute these values into the formula
  • I’ll choose 4 & -30
  • -30 = 3 × 4 + c
  • -30 = 12 + c
  • c = -30 - 12 = -42
  • So the equation is y = 3x - 42!

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