To solve this, we need to match the points of intersection (X, W, Y, Z) with the system of equations provided.

Analysis of Points:

• Point X: This point appears to be at (1, 2) on the graph.
• Point W: This point appears to be at (-3, -2).
• Point Y: This point appears to be at (3, 4).
• Point Z: This point appears to be at (-2, -3).

Equations:

• y = x + 4: This equation has a slope of 1, so the line increases gradually. The y-intercept is 4.
• y = -x + 2: This equation has a slope of -1, so the line decreases gradually. The y-intercept is 2.
• y = -2x - 3: This equation has a slope of -2, meaning it decreases faster than the previous one. The y-intercept is -3.
• y = 2x - 1: This equation has a slope of 2, meaning the line increases at a steep rate. The y-intercept is -1.

Matching the Points with Equations:

• Point X (1, 2) is likely at the intersection of the equation y = x + 4 and y = -x + 2, as both of these lines meet at (1, 2).
• Point W (-3, -2) could be at the intersection of y = -2x - 3 and y = 2x - 1, since these lines seem to cross at (-3, -2).
• Point Y (3, 4) matches the intersection of y = x + 4 and y = -x + 2, which crosses at (3, 4).
• Point Z (-2, -3) seems to match with y = -2x - 3 and y = x + 4, which intersects at (-2, -3).

Solution:

• X: y = x + 4 and y = -x + 2
• W: y = -2x - 3 and y = 2x - 1
• Y: y = -2x - 3 and y = x + 4
• Z: y = -x + 2 and y = 2x - 1

Would you like to verify or clarify any of these steps?