Graph the line with the given slope \( m \) and \( y \)-intercept \( b \). \( m=\frac{5}{3}, b=-1 \)

To graph the line with slope \( m = \frac{5}{3} \) and \( y \)-intercept \( b = -1 \), start by plotting the y-intercept on the coordinate plane. This point is (0, -1), where the line crosses the y-axis. From there, use the slope to find another point. The slope \( \frac{5}{3} \) means that for every 3 units you move to the right (the run), you move up 5 units (the rise). So, from (0, -1), move 3 units right to (3, -1) and then 5 units up to (3, 4). Plot this point and draw a straight line through both points. To ensure you have a clear graph, remember to extend the line in both directions, adding arrows at the ends to indicate that it continues infinitely. Use a ruler for straight edges, and you can even color the line to make it pop on the paper! Happy graphing!