Graph this line using the slope and \( y \)-intercept: \[ y=4 x+1 \]

To graph the line given by the equation \( y = 4x + 1 \), start by identifying the slope and \( y \)-intercept. The slope here is 4, which means for every one unit you move to the right on the x-axis, you move up 4 units on the y-axis. The \( y \)-intercept is 1, which means the line crosses the y-axis at (0, 1). Plot the point (0, 1) on your graph. From that point, use the slope to find another point: move right 1 unit to x = 1, and then up 4 units to y = 5, giving you the point (1, 5). Connect these points with a straight line, extending it in both directions, and voila! You've graphed the line!