Use the image to answer the question

Which of the following statements best describes the difference between line K and line L as seen in the picture above.

(1 point)
Responses

Line K has a steeper slope than Line L
Line K has a steeper slope than Line L

Line K has been moved up 8 units on the y-axis to Line L
Line K has been moved up 8 units on the y-axis to Line L

Line L has the opposite slope of Line K
Line L has the opposite slope of Line K

Line L has been moved 8 units to the right on the x-axis from Line K

1 answer

Without the image to reference, I can’t definitively identify the exact relationship between lines K and L. However, I can guide you on how to evaluate the statements based on typical properties of linear equations.

  1. Line K has a steeper slope than Line L: This can be evaluated by comparing the slopes of the two lines. If Line K rises and runs (the ratio of vertical change to horizontal change) more sharply than Line L, this statement would be true.

  2. Line K has been moved up 8 units on the y-axis to Line L: This suggests that the two lines are parallel, and Line L is directly above Line K at a constant distance of 8 units.

  3. Line L has the opposite slope of Line K: This is true if one line is ascending while the other is descending, indicating their slopes are negative inverses of each other.

  4. Line L has been moved 8 units to the right on the x-axis from Line K: This implies a horizontal shift.

To determine which statement is true, check the relationship between the two lines in the provided image regarding slope, shifts, and orientation.

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