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Kelsey graphed the equation y=x−3 as shown below.Which describes Kelsey's error? NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.(1 point)ResponsesKelsey graphed the slope as up 1 right 1, instead of up 1 left 1.Kelsey graphed the slope as up 1 right 1, instead of up 1 left 1.Kelsey graphed -3 instead of 3 as the y-intercept.Kelsey graphed -3 instead of 3 as the y-intercept.Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.Kelsey graphed the y-intercept on the x-axis.Kelsey graphed the y-intercept on the x-axis.

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To determine Kelsey's error in graphing the equation \( y = x - 3 \), we need to analyze the components of the equation.

  1. Slope (m): The slope of the equation \( y = x - 3 \) is 1, which means for every increase of 1 unit in \( x \), \( y \) increases by 1 unit. This is represented by the movement "up 1 right 1".

  2. Y-intercept (b): The y-intercept is -3, which means that the line crosses the y-axis at the point (0, -3).

Now, considering the options you provided:

  1. "Kelsey graphed the slope as up 1 right 1, instead of up 1 left 1." - This statement is inaccurate because the slope should indeed be graphed as up 1 right 1.

  2. "Kelsey graphed -3 instead of 3 as the y-intercept." - This statement is incorrect; the y-intercept is correctly -3.

  3. "Kelsey graphed the slope as the y-intercept and the y-intercept as the slope." - This doesn't apply here since she did not confuse the slope and y-intercept based on the provided information.

  4. "Kelsey graphed the y-intercept on the x-axis." - This statement would imply she wrongly placed the y-intercept, which is unlikely as the y-intercept is clearly defined as -3 on the y-axis.

The error Kelsey likely made, based on your options, might be related to misunderstanding the slope and direction of the graphing.

If the answer options refer primarily to y-intercept mistakes, then the accurate statement would depend on her correct placement of the slope and the y-intercept. Based on the information available, the most accurate choice seems to be:

  • Kelsey graphed -3 instead of 3 as the y-intercept.

If this was not the case, please check if she placed points incorrectly or confused the slope with the intercept based on what was graphed.

If you have Kelsey's graph and see an error more specifically, it could help clarify the exact mistake as well.