A graph has month on the x-axis and saved (money) on the y-axis. Points are at (0, 3,000), (2, 2,450), and (5, 1,625).

The instructor’s friend also plans to rent an apartment in the same complex. Use the graph to identify the y-intercept and the slope used to write the equation in slope intercept form.

y-intercept =

Slope =

Linear equation =

1 answer

The y-intercept is the value of y when x is equal to 0. From the graph, we can see that at x = 0, the y-value or saved money is 3,000. Therefore, the y-intercept is 3,000.

To find the slope, we can use the formula:

Slope = (change in y) / (change in x)

Using the points (0, 3,000) and (2, 2,450), we can calculate the change in y and change in x:

Change in y = 2,450 - 3,000 = -550
Change in x = 2 - 0 = 2

Therefore, the slope is:

Slope = -550 / 2 = -275

Finally, using the y-intercept and slope, we can write the linear equation in slope-intercept form:

Linear equation = y = slope * x + y-intercept = -275 * x + 3,000