Question

plot the relation in the xy-plane. (0.4,1.3), (-1.3,-1.2), (1.4,-0.1), (0.9,-0.5), (-1,0.5)

Explanation:

To solve this, we analyze each point:

Step 1: Identify Coordinates

The points are:

• \((0.4, 1.3)\): 0.4 on x - axis, 1.3 on y - axis (1st quadrant).
• \((-1.3, -1.2)\): -1.3 on x - axis, -1.2 on y - axis (3rd quadrant).
• \((1.4, -0.1)\): 1.4 on x - axis, -0.1 on y - axis (4th quadrant).
• \((0.9, -0.5)\): 0.9 on x - axis, -0.5 on y - axis (4th quadrant).
• \((-1, 0.5)\): -1 on x - axis, 0.5 on y - axis (2nd quadrant).

Step 2: Match to Graphs

We check which graph has points in the correct quadrants:

• 1st quadrant: \((0.4, 1.3)\)
• 2nd quadrant: \((-1, 0.5)\)
• 3rd quadrant: \((-1.3, -1.2)\)
• 4th quadrant: \((1.4, -0.1)\), \((0.9, -0.5)\)

By comparing the positions of these points (quadrant placement, x - y values), we find the correct graph (let's assume the correct option is, for example, if we analyze the options, the one with points in these quadrants as per the coordinates).

Answer:

(Assuming after analysis the correct option is, say, Option A (but need to check the actual graph; here we'll state the process - the correct graph is the one with points at (0.4,1.3) in Q1, (-1,0.5) in Q2, (-1.3,-1.2) in Q3, (1.4,-0.1) and (0.9,-0.5) in Q4. So the answer would be the option (e.g., A, B, C, D) that matches this. If we assume from the problem's context, the correct answer is the one with these points plotted correctly, so let's say the correct option is, for example, A (depending on the actual graph's point placement).)