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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 B? Explain. (First graph the lines.)

Answer

  1. B. The equation of the line in slope-intercept form is y = 3x + 4.

  2. C. The slope of a linear function indicates whether it is increasing or decreasing. If the slope is positive, the function is increasing. If the slope is negative, the function is decreasing. In this case, the slope is positive (3), so the function is increasing.

  3. D. The slope can be used to determine the end behavior of a linear function. A positive slope means the line rises as it moves from left to right, indicating that as x approaches infinity, y also approaches infinity. Conversely, as x approaches negative infinity, y approaches negative infinity.

  4. E. Yes, the line with the equation y = 3x + 1 is parallel to the line from Part B because both lines have the same slope of 3. Parallel lines have identical slopes.

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