Question

Write the equation of a line for the graph:

Answer 1

Answer: y=1/3x-2

Step-by-step explanation:

To find the equation of the line, we need the slope and y-intercept. To find the slope, we can take any two points on the graph and use the formula $m=\frac{y_2-y_1}{x_2-x_1}$. To find the y-intercept, we find the point that crosses the y-axis. The two points on the graph are (0,-2) and (3,-1).

$m=\frac{-1-(-2)}{3-0} =\frac{1}{3}$

Now, we know the slope is 1/3.

The graph crosses the y-axis at (0,-2). Therefore the y-intercept is -2. This tells us that the equation is y=1/3x-2.