Answer:
y=2/3x-2
Step-by-step explanation:
We can first find the y-intercept of the graph.
The y-intercept is the value of y when x is 0.
So, based on the graph, we can see that the y-intercept is at (0, -2).
Now, we need to find another point in order to find the slope of the line.
Another point would be (3,0).
This is also the x-intercept.
We can put these points into the formula for slope to find the slope of the given line.
The formula for slope is: y1-y2/x1-x2
In the formula:
y1 is the y coordinate of the first point
y2 is the y coordinate of the second point
x1 is the x coordinate of the first point
x2 is the x coordinate of the second point
We can plug our points in.
-2-0/0-3
Simplify.
-2/-3
2/3
The slope is 2/3.
Put it into an equation.
We can use the form y=mx+b
This is where m is the slope and b is the y-intercept.
We can put our corresponding values in.
The final equation would therefore be: y=2/3x-2.
