3x + y = -6
y = -3x - 6
Now, to plot the graph, we will need to find two points on it.
The usual points which we will look for is the x-intercept and the y-intercept.
We will start off finding the x-intercept.
On the x-axis, y = 0. We have:
0 = -3x - 6
3x = -6
x = -6 / 3
x = -2
Thus, the x-intercept is (-2, 0).
Next is the y-intercept.
On the y-axis, x = 0. We have:
y = -2(0) - 6
y = 0 - 6
y = -6
Thus, the y-intercept is (0, -6).
Hence, we just need to plot the two points (-2, 0) and (0, -6), and then draw a line through the both of them to graph 3x + y = -6