Answer: No, (2,4) is not a solution to the equation y = x-2
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Explanation:
We can show this by plugging x = 2 into the equation. We should get y = 4 if (2,4) was a solution
y = x-2
y = 2-2 ... replace x with 2
y = 0
Since we didn't get y = 4, this means (2,4) is not a solution
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A similar method would be to do these steps
y = x-2
4 = 2-2 ... replace x with 2, replace y with 4
4 = 0 ... false equation
The false equation shows y = x-2 is not true when (x,y) = (2,4)
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The graph of y = x-2 does not have the point (x,y) = (2,4) on the line.
So this is a visual way to confirm (2,4) is not a solution to y = x-2.
See the graph below.
