Question

The equations of four lines are given. Identify which lines are parallel. Line 1: y=1/2x-6. Line 2: x-2y=-1. Line 3: y=4x+6. Line 4: y+3=1/4(x-6)

Answer 1

Lines 1 and 2 are parallel because they have the same slope

Explanation:

slope of line 1 = 1/2

slope of line 2 = 1/2

slope of line 3 = 4

slope of line 4 = 14

how to find slope of line 2, solve for 'y':

x - 2y = -1

-2y = x - 1

y = 1/2x + 2

how to find slope of line 4, simplify for 'y':

y + 3 = 1/4x - 1/4(6)

y = 1/4x - 6/4 - 3

y = 1/4x -6/4 - 12/4

y = 1/4x - 18/4