Graph to Table Analysis: Determine the Matching Dataset

Question

Given the following graph, determine which table corresponds to the following table

–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777888999–1–1–1111222333444555666777000

Video Solution

Solution Steps

00:00 Choose the appropriate table for the graph
00:03 We want to find points on the graph, and place them in the table
00:06 We'll take a specific X value and find the corresponding Y value according to the graph
00:14 We'll place each point in the table
00:21 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Identify key points on the graph where lines cross grid intersections.
  • Convert these intersections into coordinate pairs (X, Y).
  • Compare these pairs with each table of choices provided.

Now, let's work through each step:
Find two key points on the graph that you can identify where the line crosses grid intersections. From the graph, we can see:

  • Point 1: (0,0) (0, 0)
  • Point 2: (1,5) (1, 5)
  • Point 3: (2,6) (2, 6)

These points indicate the graph’s relationship in the form of a linear equation.

Let's compare these points to the tables:
Choice 1 has the following data points:

  • (0,1)(0, 1)
  • (1,2)(1, 2)
  • (2,3)(2, 3)

This does not match.

Choice 2 has these data points:

  • (0,1)(0, -1)
  • (1,2)(1, -2)
  • (2,3)(2, -3)

This does not match either.

Choice 3 has these data points:

  • (0,0)(0, 0)
  • (1,5)(1, 5)
  • (2,6)(2, 6)

This set of points matches perfectly.

Therefore, the solution to the problem is Choice 3.

Answer

XY012056