saniam7
saniam7 saniam7
  • 22-10-2021
  • Mathematics
contestada

Find the equation of the linear function represented by the table

y 6 9 12 15
x 1 2 3 4






​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 23-10-2021

9514 1404 393

Answer:

  y = 3x +3

Step-by-step explanation:

The slope of the line can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the first two sets of table values, this is ...

  m = (9 -6)/(2 -1) = 3/1 = 3

You can find the point-slope equation using the form ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -6 = 3(x -1) . . . . . using the first point in the table

Solving for y gives ...

  y = 3x -3 +6 . . . eliminate parentheses, add 6

  y = 3x +3

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