Which graph matches the linear equation of 6x+y=-4

1 answer

The graph of the linear equation 6x+y=-4 is a straight line. Here are the options for the graph:

1. The graph passes through the points (-4, 28) and (0, -4).
2. The graph passes through the points (-2, 8) and (0, -4).
3. The graph passes through the points (-1, -1) and (0, -4).
4. The graph passes through the points (0, -4) and (1, -10).

To determine which graph matches the given equation, we need to substitute the x and y values from each option into the equation and see if it satisfies the equation.

Let's check the options:
1. For option 1, when x = -4 and y = 28:
6(-4) + 28 = -24 + 28 = 4, which is not equal to -4.

2. For option 2, when x = -2 and y = 8:
6(-2) + 8 = -12 + 8 = -4, which is equal to -4.

3. For option 3, when x = -1 and y = -1:
6(-1) + (-1) = -6 - 1 = -7, which is not equal to -4.

4. For option 4, when x = 0 and y = -4:
6(0) - 4 = -4, which is equal to -4.

Therefore, the graph that matches the linear equation 6x+y=-4 is the graph in option 4, which passes through the points (0, -4) and (1, -10).