Question

Line F has a slope of −6/3, and line G has a slope of −8/4. What can be determined about distinct lines F and G?

The lines will intersect.
Nothing can be determined about the lines from this information.
The lines are parallel.
The lines have proportional slopes.

Answer 1

Answer: the lines are parallel.

Reasoning:

If we simply the slopes of both lines, line F has a slope of -2 since -6/3=-2, and line G also has a slope of -2 since -8/4=-2. Because the slopes are equal, the lines rise and run at the sane rate, and as long as they have different y-intercepts, they will be parallel. Essentially, both lines will have the same “steepness” but start at different points, so they never intersect.