Answer:
y = -2/3x
Step-by-step explanation:
To write in y=mx+b form, you need the y-intercept (b) and the slope (m).
The y-intercept is the point the line crosses the y-axis. This line crosses the y-axis of (0, 0). This makes the y-intercept equal to 0.
The slope is the rise of the line over the run of the line. Pick two points from the line. It doesn't matter which ones, you will get the right answer regardless.
I picked (0, 0) and (-3, 2). Subtract the x-values from each other, and subtract the y-values from each other.
-3 - 0 = -3 (x)
2 - 0 = 2 (y)
Divide the y by the x to find the slope.
2/-3 = -2/3
Plug in the slope and y-intercept into the equation.
y = mx + b
y = -2/3x + 0
y = -2/3x
