y = -(2/3)x - 3
To completely find the equation of the line, we have to find b, or the y-intercept. This is where the line intersects the y-axis, or the vertical axis.
To find b, we can substitute y and x with (-3, -1) because we know that this is a point which is satisfied by the equation of the line.
y = -(2/3)x + b
Substitute (x, y) with (-3, -1)
x --> -3
y --> -1
-1 = -(2/3)(-3) + b
-1 = 2 + b
b = -3
y = -(2/3)x - 3
Check our work. Just plug in the value of (-3, -1), and see if it works!
-1 = -(2/3)(-3) - 3
-1 = 2 - 3
-1 = -1
It works!
