Question

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Question
x y
0 3
1 1
2 -1


Which equation represents the data in the table shown?
Responses
A y = −2xy = −2x
B y = 2x + 3y = 2x + 3
C y = −2x + 3y = −2x + 3
D y = −2x − 3y = −2x − 3
E y = −4x − 3y = −4x − 3
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Answer 1

To determine the equation that represents the data in the table, we can look for a pattern in the values.

From the table, we can see that as x increases by 1, y decreases by 2. This suggests a linear relationship between x and y.

Additionally, we can observe that when x = 0, y = 3. This tells us that the y-intercept of the equation is 3.

Based on these observations, we can eliminate options D and E because they have incorrect y-intercepts.

Next, we can substitute the values from the first data point (x = 0, y = 3) into the remaining equations to see which one is satisfied.

For option A, y = -2x. Substituting x = 0, y should be 0, but it is not. So, option A is not the correct equation.

For option B, y = 2x + 3. Substituting x = 0, y should be 3, and this equation satisfies that condition. So, option B is the correct equation.

Therefore, the answer is B) y = 2x + 3.