Question

one of the solutions of the system of equations shown in the graph has an x - value of - 4. what is its corresponding integer y - value? - 1 - 3 0 3

Explanation:

Step1: Understand the problem

We need to find the y - value of the solution of the system of equations (the intersection point of the two graphs) when \(x=-4\). The two graphs are a line (red) and a parabola (blue).

Step2: Locate \(x = - 4\) on the x - axis

Find the vertical line corresponding to \(x=-4\) on the coordinate plane.

Step3: Find the intersection at \(x=-4\)

Look at the point where the vertical line \(x = - 4\) intersects the two graphs (the solution of the system at \(x=-4\)). From the graph, when \(x=-4\), we check the y - coordinate of the intersection point. By observing the grid, we can see that the y - value at \(x=-4\) for the intersection point is \(-3\).

Answer:

-3