The system of equations represented by the graph is:
y = x - 6
y + x = -2
And the solution is (2, -4), then the correct option is the first one.
<h3>
What system is represented by the graph?</h3>
On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.
The line with a positive slope intercepts the y-axis at y = -6, then that line is:
y = a*x - 6
with a > 0.
The other line passes through the y-axis at y = -2, then the linear equation is:
y = b*x - 2
Where b < 0.
Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)
The only option that meets all the criteria is the first option:
y = x - 6
x + y = -2
And the solution is (2, -4)
Learn more about systems of equations:
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Another way of saying this is two negatives make a positive right?..
