Fill in the Blank Question

A system of linear equations is shown on the graph.

The graph shows two intersecting lines. One line passes through the points (negative 3, negative 4), (0, negative 2), and (3, 0). The other line passes through the points (negative 3, negative 4), (negative 1, 0), (0, 2), and (1, 4).

What is the solution to the system of equations? Type the coordinates in the boxes below.

1 answer

To find the solution to the system of equations represented by the two intersecting lines, we need to identify the point where the two lines intersect.

From the information given about the points through which the lines pass:

  • The first line, which we can label as \( L_1 \), passes through the points \( (-3, -4) \), \( (0, -2) \), and \( (3, 0) \).
  • The second line, which we can label as \( L_2 \), passes through the points \( (-3, -4) \), \( (-1, 0) \), \( (0, 2) \), and \( (1, 4) \).

Both lines pass through the point \( (-3, -4) \), indicating that they intersect there.

Thus, the coordinates representing the solution to the system of equations are \((-3, -4)\).

Fill in the blanks with:

  • X-coordinate: -3
  • Y-coordinate: -4