Graph-Table Correspondence: Determine the Matching Table from Given Graph

Q: How do I read coordinates from a graph accurately?

Start at any point on the line and trace straight down to the x-axis for the first number, then straight left or right to the y-axis for the second number. Remember: (x, y) means (horizontal, vertical).

Q: What if the line passes between grid lines?

Look for points where the line crosses exactly at grid intersections. These give you whole number coordinates that are easier to read and match with table values.

Q: How many points do I need to check?

Check at least 3 clear points on the line. If all 3 points from a table lie on the graph's line, you've found the correct match!

Q: What if I can't see the line clearly?

Focus on the direction and steepness of the line. A line going down from left to right (negative slope) will have y-values that decrease as x-values increase.

Graph Reading with Coordinate Identification

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's pick the right table for our graph.

00:10 Our goal is to find points on the graph, and put them in the table.

00:15 We'll choose a specific X value, then find its matching Y value on the graph.

00:20 Put each point you find into the table.

00:32 And that's how we solve the question! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

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

Step-by-step solution

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

Step 1: Identify points on the graph.
Step 2: Compare these points with those given in the tables.
Step 3: Determine which table matches these points.

Now, let's work through each step:
Step 1: Upon inspecting the graph, we identify the points: $(-2, 4)$ , $(0, 4)$ , $(2, 2)$ , and $(4, 0)$ .
Step 2: We compare these points with the sets of points in each table choice.
Step 3: After comparing, we find that the table with $(X, Y)$ values $(0, 4)$ , $(2, 2)$ , and $(4, 0)$ matches the points from the graph.

Therefore, the correct table that corresponds to the given graph is Choice 2.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Graph Reading: Identify points where line crosses grid intersections
Coordinate Method: Read (x, y) as (horizontal, vertical) positions like (0, 4)
Verification: Check each table point appears on the line drawn ✓

Common Mistakes

Avoid these frequent errors

Reading coordinates in wrong order
Don't read vertical first then horizontal = backwards coordinates! This gives points like (4, 0) instead of (0, 4) and selects the wrong table. Always read horizontal x-value first, then vertical y-value.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the following table represents a constant function:

FAQ

Everything you need to know about this question

How do I read coordinates from a graph accurately?

Start at any point on the line and trace straight down to the x-axis for the first number, then straight left or right to the y-axis for the second number. Remember: (x, y) means (horizontal, vertical).

What if the line passes between grid lines?

Look for points where the line crosses exactly at grid intersections. These give you whole number coordinates that are easier to read and match with table values.

How many points do I need to check?

Check at least 3 clear points on the line. If all 3 points from a table lie on the graph's line, you've found the correct match!

What if I can't see the line clearly?

Focus on the direction and steepness of the line. A line going down from left to right (negative slope) will have y-values that decrease as x-values increase.

Why doesn't the line pass through all points in the table?

The line represents the relationship between x and y. It should pass through every single point listed in the correct table. If it misses any point, that table is wrong.

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