The equation of the line is:
y = -3/2x - 3
where -3/2 is our slope and -3 is our y-intercept.
To find the equation, we can take two points and solve for slope first through y-y/x-x:
Let’s use the two points (0, -3) and (-2, 0):
0 - (-3) = 3
-2 - 0 = -2
Therefore, our slope is -3/2.
The y-intercept is known as the point of the graphed line where the line crosses the y-axis (vertical). In this graph, the y-intercept would be -3.
Now, we can set up our equation:
y = -3/2 - 3