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y would be 8 if i’m doing this right

Given the table of values that represents a linear function, the value of y when x = 4 is: 5.

Recall:

  • Equation of a linear function can be modelled as y = mx + b.
  • m = slope; b = y-intercept.
  • slope (m) = change in y / change in x
  • y-intercept (b) is the value of y at x = 0.

Find the slope of the linear function, using two pairs of values, (-4, 3) and (0, 4):

Slope (m) = (4 - 3)/(0 - (-4)) = 1/4

y-intercept (b) = 4 (from the table, when x = 0, y = 4).

Write the equation that models the function by substituting m = 1/4 and b = 4 into y = mx + b:

y = 1/4x + 4

Thus, to determine the value of y when x = 4, substitute x = 4 into y = 1/4x + 4:

y = 1/4(4) + 4

y = 1 + 4

y = 5.

Therefore, given the table of values that represents a linear function, the value of y when x = 4 is: 5.

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