Write the equation of the line

y = 1/3x - 1

Step-by-step explanation:

y = mx + b format is used.

We find the y-intercept by looking for the point where the line intercepts with the y-axis. This point is (0, -1), so b = -1.

We then find the slope using two points. The easiest ones to use here are (3, 0) and (0, -1). Use the formula (y1 - y2 / x1 - x2). 0 - -1 = 1, (the difference in the two y-coordinates) and 3 - 0 = 3 (the difference in the two x-coordinates). So, the slope, or m, is 1/3.

We then plug these values into the slope-intercept format.

y = 1/3x - 1