Respuesta :
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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