### Instruction: What is the value of $c$ if the lines with equations $y = 8x + 2$ and $y = (2c)x - 4$ are parallel?### Response: I know that parallel lines have the same slope, so the coefficients of $x$ must be equal in both equations.
Therefore, I can write $8 = 2c$ and solve for $c$ by dividing both sides by 2.