The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line.

Answer:

First, write the equation for the line in slope-intercept form: y = -275x + 3500, where -275 is the monthly rent and 3500 is the initial savings. To check if the point (6, 1850) is on the line, substitute x = 6 and y = 1850 into the equation. 1850 = -275(6) + 3500 1850 = -1650 + 3500 1850 = 1850 Since the equation is true, the instructor is correct; the point is on the line.