Fill in the missing number to complete the linear equation y = x - ?
Understand the Problem
The question asks to find the missing constant in the linear equation y = x - ?, given a table of x and y values. You need to determine what number, when subtracted from the x value, equals the corresponding y value in the table.
Answer
2
Answer for screen readers
2
Steps to Solve
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Select a data point from the table Let's use the first data point from the table where $x = 2$ and $y = 0$.
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Substitute the values of x and y into the equation Substitute $x = 2$ and $y = 0$ into the equation $y = x - ?$. This gives us: $0 = 2 - ?$
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Solve for the missing number To find the missing number, we can rearrange the equation: $? = 2 - 0$ $? = 2$
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Check with another data point Let's check this with another data point, say $x = 3$ and $y = 1$. $1 = 3 - 2$ $1 = 1$ This confirms that the missing number is indeed 2.
2
More Information
The equation relating $x$ and $y$ is $y = x - 2$. This means that each $y$ value is $2$ less than its corresponding $x$ value.
Tips
A common mistake is to try subtracting y from x, instead of recognizing that the equation gives y in terms of x, hence you should subtract some constant from x to get y.
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