Which Graph Shows The Correct Y-intercept?

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| Written by Mandalmoore88

Mandalmoore88

Community Contributor

Quizzes Created: 2 | Total Attempts: 420

Questions: 5 | Attempts: 87 | Updated: Mar 14, 2023

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Questions and Answers

1.

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =2x +5
- A.
- B.
- C.
- D.
Correct Answer
D.

Explanation
The correct answer is graph C. The y-intercept of an equation represents the point where the line intersects the y-axis. In the equation y = 2x + 5, the y-intercept is the constant term, which is 5. Graph C shows a line that passes through the point (0, 5), indicating the correct y-intercept. The other graphs do not pass through the point (0, 5), so they do not represent the correct y-intercept for the equation.

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2.

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =2x -2
- A.
- B.
  
  Option 2
- C.
- D.
  
  Option 4
Correct Answer
B. Option 2

Explanation
Option 2 shows the correctly plotted y-intercept for the equation y = 2x - 2. The y-intercept is the point where the graph intersects the y-axis, and it represents the value of y when x is 0. In Option 2, the graph intersects the y-axis at -2, which is the correct y-intercept for the given equation.

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3.

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =1/2x +3
- A.
  
  Option 3
- B.
  
  Option 1
- C.
  
  Option 2
- D.
  
  Option 4
Correct Answer
A. Option 3

Explanation
The y-intercept of an equation represents the point where the line intersects the y-axis. In the given equation y = 1/2x + 3, the y-intercept is 3. Option 3 shows the correct y-intercept as the line intersects the y-axis at the point (0,3).

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4.

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =3x -4
- A.
  
  Option 1
- B.
  
  Option 2
- C.
  
  Option 3
- D.
  
  Option 4
Correct Answer
C. Option 3

Explanation
Option 3 shows the correctly plotted y-intercept for the equation y = 3x - 4. The y-intercept is the point where the graph intersects the y-axis, and it represents the value of y when x is equal to 0. In this equation, when x is 0, y is -4. Option 3 correctly shows this point at the coordinates (0, -4) on the graph.

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5.

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =2x
- A.
  
  Option 1
- B.
  
  Option 2
- C.
  
  Option 3
- D.
  
  Option 4
Correct Answer
B. Option 2

Explanation
Option 2 shows the correctly plotted y-intercept for the equation y = 2x. The y-intercept is the point where the graph intersects the y-axis, and in this equation, the y-intercept is 0. Since option 2 has the graph passing through the point (0,0), it correctly represents the y-intercept for the equation.

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Which Graph Shows The Correct Y-intercept?

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =2x +5

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =2x -2

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =1/2x +3

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =3x -4

Which of the following graphs shows the correctly plotted y-intercept for this equation:y =2x