Step-by-step explanation: ( * means Times! )
An equation in this instance is what you add to X to make Y true. Remember, <u>This has to qualify for all of the numbers. </u>
Look through each answer and find which equation would work for making X and Y true.
y=2x + 1. When you replace the X with a 1, because the 1 is the the X area of the table, your equation will look like this:
(2*1+1=3.)
That makes the equation true, for the 1st one only so far.
y = 2x + 1 is equal to 2*2+1. 2*2+1 makes 5, not what is in the Y column across from it. Therefore, y=2x + 1 isn't the equation for the table.
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<u>Now, let's move on to the second equation!</u>
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y= x + 2. When you add 1 and 2, (1 being from the X column) you get 3. That will make the equation true for the first part. Let's check the second column.
y= 2 + 2. This equals 4, not 1. Therefore, this equation cannot be true.
<u>Time for the 3rd equation! </u>
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Y=3x. (Y=3*x) In this instance, the equation would be Y=3*1. That equals 3, that part of the equation is right.
For the second one, it would make the equation: Y=3*2. 3*2 is 6, not 1. That makes the equation incorrect.
<u>Now, time for the 4th (and final) equation!</u>
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y = -2x + 5. Now, this is a little more tricky, since we're working with negative numbers.
-2*1+5 would be the equation after adding 1 instead of x. -2x1 stays the same as -2. However, when you add 5 to it, that makes it 3. (You can find how to add negative numbers online, but that isn't what we are looking at in this question).
So, the first part is true.
Now, we are doing -2*2+5. This equation makes 1, which is true.
Now, we are doing -2*3+5. this makes -1. <u>Therefore, y= -2x +5 is the correct equation. </u>
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