Indicate whether the distinct lines, line 1 and line 2 are parallel, perpendicular, or neither.
-10x + y = -8
A) m = 10; y-intercept is (0, -8)
B) m = -10; y-intercept is (0, -8)

Question

Indicate whether the distinct lines, line 1 and line 2 are parallel, perpendicular, or neither.
-10x + y = -8
A) m = 10; y-intercept is (0, -8) 
B) m = -10; y-intercept is (0, -8)

Quizplus · Accepted Answer

For two lines to be perpendicular, their slopes must be negative reciprocals of each other. Both lines have a slope-intercept form of y = mx + b, where m is the slope and b is the y-intercept. Line 1 has a slope of 10 and Line 2 has a slope of -10. The negative reciprocal of 10 is -1/10, and the negative reciprocal of -10 is 1/10, so the lines are not perpendicular. However, since their slopes have opposite signs, the lines are not parallel either. Therefore, the answer is neither, and the best choice is B as it provides the slope and y-intercept of one of the lines.

Indicate Whether the Distinct Lines, Line 1 and Line 2