Question

which point has coordinates (left(-4\frac{1}{2}, 3\frac{1}{2}
ight)?)

Explanation:

Step1: Analyze the x - coordinate

The x - coordinate of the point is \(-4\frac{1}{2}=-\frac{9}{2}=-4.5\). This means the point is 4.5 units to the left of the origin on the x - axis.

Step2: Analyze the y - coordinate

The y - coordinate of the point is \(3\frac{1}{2}=\frac{7}{2} = 3.5\). This means the point is 3.5 units above the origin on the y - axis.

Step3: Identify the point

Looking at the points:

• Point F: Let's check its coordinates. From the graph, F is at \(x=-4.5\) (since it's halfway between - 5 and - 4) and \(y = 3.5\) (halfway between 3 and 4).
• Point D: D is at \(x=-3\) (approx) and \(y = 4.5\) (approx), so not matching.
• Point E: E is at positive x - coordinate, so not matching.
• Point C: C is at positive x - coordinate and negative y - coordinate, so not matching.

Answer:

Point F