Graph the line with slope 4 and y-intercept −7.

Sure, here are the steps to graph the line with slope 4 and y-intercept -7:

1. Start by drawing a set of axes on a piece of graph paper. Label the horizontal axis as "x" and the vertical axis as "y".

2. Plot the y-intercept on the y-axis. The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is -7, so you would plot a point at (0, -7).

3. Use the slope to find another point on the line. The slope is the rise over the run, or the vertical change over the horizontal change. In this case, the slope is 4, which means for every 1 unit you move to the right on the x-axis, you move up 4 units on the y-axis. So from the y-intercept (0, -7), move 1 unit to the right to (1, -7), then move up 4 units to (1, -3). Plot this point.

4. Draw a straight line through the two points. This line represents the equation of the line with slope 4 and y-intercept -7.

5. Label the line with its equation, which in slope-intercept form is y = 4x - 7.