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

Question

Quizplus · Accepted Answer

To determine the relationship between the lines, we first need to find the slope of the given line x + y = -2. Rewriting it in slope-intercept form (y = mx + b), we get y = -x - 2, which means the slope (m) is -1. The y-intercept is indeed (0, -2), matching option B. Since both lines have the same slope of -1, they are parallel.

Indicate Whether the Distinct Lines, Line 1 and Line 2