Given the following graph, determine which table corresponds to the following table
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Given the following graph, determine which table corresponds to the following table
To solve this problem, we'll follow these steps:
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:
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:
This does not match.
Choice 2 has these data points:
This does not match either.
Choice 3 has these data points:
This set of points matches perfectly.
Therefore, the solution to the problem is Choice 3.
Determine whether the given graph is a function?
Look for points where the line crosses exactly at grid intersections. These give you precise coordinates like , , and .
In this problem, the line does pass through clear intersections. If it didn't, you'd need to estimate carefully or use the equation of the line to calculate exact values.
You can use any points, but grid intersections are easiest to read accurately. Using unclear points leads to measurement errors and wrong table selection.
Verify that every coordinate pair from your graph matches the table exactly. If even one point doesn't match, that table is incorrect.
The line goes from to , so the slope is 5. This steep positive slope helps confirm the correct table shows large y-value increases.
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