Which lines are parellele

Line 1 and Line 4 are parallel lines

Solution:

General equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

To find the slope of each line:

Line 1:

Slope

Line 2:

Add 7 on both sides, we get

Slope

Line 3:

Slope

Line 4:

Subtract x from both sides, we get

Multiply  by on both sides, we get

Slope

Two lines are parallel, if their slopes are equal.

From the above slopes,

Therefore Line 1 and Line 4 are parallel lines.

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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