Respuesta :

9514 1404 393

Answer:

  y = 4x +3

Step-by-step explanation:

The slope formula can be used to find the slope:

  m = (y2 -y1)/(x2 -x1)

Using the first two lines of the table, we find the slope to be ...

  m = (11 -7)/(2 -1) = 4/1 = 4

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The y-intercept can be found from the relation ...

  b = y -mx

Using the slope we found, and the first line of the table, we find the intercept to be ...

  b = 7 -4(1) = 3

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Then the equation is ...

  y = mx +b . . . . . . slope-intercept form of the equation for a line

  y = 4x +3