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 = ?

Question

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 = ?

Mercury · Answer

the y-intercept: look at the graph -  where does the graph intersect the y-axis?

the slope: using the graph, take two points and calculate rise/run. however, since the graph didn't copy over, we could also use the slope formula

m = (y2-y1) / (x2-x1)
where you pick any point on the graph to be your (x1,y1) and any other point to be (x2,y2)

once you have your y-intercept (b), and your slope (m)
plug the values into y = mx + b