Question

David's Response: The slopes are the same, and the y-intercepts are different. Which statements did you include in your answer?

a. Parallel Lines: The slopes are the same, and the y-intercepts are different.
b. Perpendicular Lines: The slopes are different, and the y-intercepts are different.
c. Same Line: Both the slopes and y-intercepts are the same.
d. Undefined Slope: The slopes are undefined.

Answer 1

a) Parallel lines have the same slope and different y-intercepts. b) Perpendicular lines have slopes that are negative reciprocals of each other.

Step-by-step explanation:

a. Parallel Lines: The slopes are the same, and the y-intercepts are different.

The slopes of parallel lines are always equal. In the given example, Line A has a slope of -4.7 and Line B has a slope of 12.0, so they are not parallel.

b. Perpendicular Lines: The slopes are different, and the y-intercepts are different.

Perpendicular lines have slopes that are negative reciprocals of each other. The given lines do not have slopes that are negative reciprocals, so they are not perpendicular.