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This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x

Respuesta :

mhanifa

Answer:

  • B. y = 6x + 3

Step-by-step explanation:

Given

  • x = {5, 6, 7, 8, 9} and
  • y = {33, 39, 45, 51, 57}

The equation in slope- intercept form:

  • y = mx + b

Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:

  • m = (39 - 33)/(6 - 5) = 6/1 = 6

Using one point (5, 33) to find the y-intercept:

  • 33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3

The equation is:

  • y = 6x + 3

Correct option is B

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