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B. What is the equation of the line in slope-intercept form?

B. What is the equation of the line in slope-intercept form?
C. How can you use the slope to answer whether the linear function is increasing or decreasing?
D. How can you use the slope to determine the end behavior?
E. Is the line with the equation y = 3x + 1 parallel to the line from Part A? Explain. (Hint: Graph the lines.)

Answer

  1. B. The equation of the line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Without specific values from Part A, the exact equation cannot be determined.

  2. C. If the slope m is positive, the linear function is increasing. If the slope m is negative, the linear function is decreasing.

  3. D. The slope indicates the direction of the line. A positive slope means the line rises to the right, indicating an increasing end behavior. A negative slope means the line falls to the right, indicating a decreasing end behavior.

  4. E. Two lines are parallel if they have the same slope. The line with the equation y = 3x + 1 has a slope of 3. If the line from Part A also has a slope of 3, then they are parallel. Without the slope from Part A, this cannot be confirmed.

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