$\"\"$

The two line equations are $\"\"$ and $\"\"$ .

Line equation in slope-intercept form $\"\"$ , where $\"\"$ is slope and $\"\"$ is $\"\"$ -intercept.

Consider $\"\"$ .

Compare it with slope-intercept form.

$\"\"$ and $\"\"$ .

Consider $\"\"$ .

Compare it with slope-intercept form.

$\"\"$ and $\"\"$ .

Parallel lines have equal slopes.

Since slopes of the above two lines are equal, the lines are parallel.

$\"\"$

Parallel lines.