What type of line would be used to graph the following linear inequality? \( y \geq 4 x-2 \)

To graph the inequality \( y \geq 4x - 2 \), you would use a solid line for the equation \( y = 4x - 2 \). This indicates that points on the line are included in the solution set. To illustrate the region satisfying the inequality, you would shade above the line since \( y \) values are greater than or equal to the line's values. In practice, if you were to graph this inequality, you'd start by plotting the line \( y = 4x - 2 \) and then pick a test point, like (0,0), to see if it makes the inequality true. If the point satisfies the inequality, you'll shade the side of the line that includes that point; if not, you'll shade the opposite side.