In this resource, you investigated how to interpret changes in y-intercepts for linear functions using graphs, tables, and equations.

Consider the graphs, equations, and tables shown below. Each pair compares draining a pool with 12 feet of water at a rate of 1.5 feet per hour to draining a pool with 9 feet of water at the same rate.

y = 9 – 1.5x, y = 12 – 1.5x, graph of a line with a y-intercept of 12 and a line with a y-intercept of 9, showing the decrease in y-intercept of 3 or 25%”
table of a values with a y-intercept of 12 and a y-intercept of 9, showing the decrease in y-intercept of 3 or 25%”

In each representation, the y-intercept begins at (0, 12), and shows a decrease of 3 feet, or 25% from the original value of 12 feet, to a y-intercept of (0, 9).