Graph the line with y-intercept 1 and slope 4.

Sure, here are the steps to graph the line with y-intercept 1 and slope 4:

Step 1: Draw the y-axis and x-axis on a graph paper.

Step 2: Mark the y-intercept on the y-axis. The y-intercept given is 1, so put a point at 1 on the y-axis.

Step 3: From the y-intercept, use the slope to find the next point. The slope is the rise over the run. In this case, the slope is 4, which can be written as 4/1. This means you go up 4 units (rise) and move 1 unit to the right (run) from the y-intercept.

Step 4: Put a point at this new location.

Step 5: Draw a straight line through the two points. This is the graph of the line with y-intercept 1 and slope 4.

Remember, the slope of a line is a measure of how steep the line is, and the y-intercept is the point where the line crosses the y-axis.