Question

Are the Lines Parallel? How do you know?

a.Line 1 runs through the points (-6, 6) and (0,5)
b.Line 2 runs through the points (0, -3) and (6,-4)

Answer 1

To determine if two lines are parallel, compare their slopes. If the slopes are equal, the lines are parallel.

Step-by-step explanation:

To determine if two lines are parallel, we need to compare their slopes.

The formula to calculate the slope of a line is (y2 - y1) / (x2 - x1).

For line 1, the slope is (5-6) / (0-(-6)) = -1 / 6. For line 2, the slope is (-4-(-3)) / (6-0) = -1 / 6.

Since both slopes are equal, we can conclude that the lines are parallel.