Question

\\((1.5, 0.75)\\)
\\((1.75, 0.5)\\)
\\((0.75, 1.5)\\)
\\((1.5, 1.75)\\)

Explanation:

⚡ Using what you learned: solving systems by graphing

Step 1: Identify the intersection point

The solution to a system of equations represented on a graph is the point where the two lines intersect.

Looking at the graph:

• The intersection point lies between \( x = 1 \) and \( x = 2 \). Specifically, it is exactly halfway at \( x = 1.5 \).
• The corresponding \( y \)-value is slightly below \( 1 \), specifically at \( y = 0.75 \).

Step 2: Match with the options

We test the coordinates of the intersection point against the given choices:

• \( (1.5, 0.75) \)
• \( (1.75, 0.5) \)
• \( (0.75, 1.5) \)
• \( (1.5, 1.75) \)

The point \( (1.5, 0.75) \) matches the visual intersection on the graph.

Answer:

\( (1.5, 0.75) \)