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.