calculate y values for given x values using linear function

Check the final answer first, then review the worked steps.

Problem

calculate y values for given x values using linear function

Answer

\(For x = -1, y = -2; for x = 0, y = 2; for x = 1, y = 6; for x = 2, y = 10\)

Step-by-step solution

To complete the table for the function $y = 4x + 2$, we substitute each given $x$ value into the equation to calculate the corresponding $y$ value.

  1. Calculate for x = -1: Substitute $x = -1$ into the equation: $y = 4(-1) + 2 = -4 + 2 = -2$.
  1. Calculate for x = 0: Substitute $x = 0$ into the equation: $y = 4(0) + 2 = 0 + 2 = 2$.
  1. Calculate for x = 1: Substitute $x = 1$ into the equation: $y = 4(1) + 2 = 4 + 2 = 6$.
  1. Calculate for x = 2: Substitute $x = 2$ into the equation: $y = 4(2) + 2 = 8 + 2 = 10$.