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A. On the coordinate plane provided, plot the points (-2, -2), (-1, 1), and (1, 7). Connect the points with...

13. A. On the coordinate plane provided, plot the points (-2, -2), (-1, 1), and (1, 7). Connect the points with a straight line.
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. A. Plot the points (-2, -2), (-1, 1), and (1, 7) on the coordinate plane and connect them with a straight line.

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

  3. C. The slope of the line is positive (3), which indicates that the linear function is increasing.

  4. D. A positive slope means that as x increases, y also increases. Therefore, the end behavior is that the line will continue to rise as it moves to the right.

  5. E. Yes, the line with the equation y = 3x + 1 is parallel to the line from Part A because they have the same slope (3). Parallel lines have identical slopes.

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