Question

The equations of three lines are given below.

Line 1: y=-3x-1
Line 2: 6x+2y=8
Line 3: y=3x+8
For each pair of lines, determine whether they are parallel, perpendicular, or neither
Line 1 and Line 2: O Parallel O Perpendicular
Neither
X
Line 1 and Line 3:
O Parallel O Perpendicular
Neither
Line 2 and Line 3: O Parallel O Perpendicular
Neither

Answer 1

Explanation:

line 1 and 2 : parallel

as line 2 is actually

6x + 2y = 8

2y = -6x + 8

y = -3x + 4

so, they have the same slope (factor of x).

line 1 and 3 : neither

the slopes -3 and 3 are not parallel not perpendicular (90°).

line 2 and 3 : neither

as line 2 is parallel to line 1, it has the same relationship to line 3 as line 1.