Question

The equations of four lines are given. Identify which lines are perpendicular.

Line 1: y=6
Line 2: y=14x+1
Line 3: x=−7
Line 4: y−1=−4(x−3)

(A) Line 1 and Line 3
(B) Line 2 and Line 4
(C) Line 1 and Line 4
(D) None of the above

Answer 1

The lines that are perpendicular are Line 2 (y = 14x + 1) and Line 4 (y - 1 = -4(x - 3)).

Step-by-step explanation:

The given equations are:

1. y = 6
2. y = 14x + 1
3. x = -7
4. y - 1 = -4(x - 3)

To determine which lines are perpendicular, we can compare the slopes of the equations. Two lines are perpendicular if and only if the product of their slopes is -1. In this case, the lines that are perpendicular are Line 2 (y = 14x + 1) and Line 4 (y - 1 = -4(x - 3)).