Answer:
Explanation:
To graph the equation 3y = -6x - 12, we can start by finding the x and y intercepts.
The x-intercept is the point where y = 0, so we can substitute 0 for y in the equation:
3y = -6x - 12
3 * 0 = -6x - 12
0 = -6x - 12
12 = -6x
x = -2
So the x-intercept is (-2, 0).
The y-intercept is the point where x = 0, so we can substitute 0 for x in the equation:
3y = -6x - 12
3y = -6 * 0 - 12
3y = -12
y = -4
So the y-intercept is (0, -4).
Now that we have the x and y intercepts, we can plot the points on the graph and draw a line that passes through both points. This line will be the graph of the equation.
In this case, the graph of the equation 3y = -6x - 12 is a downward sloping line that passes through the points (-2, 0) and (0, -4).