,

The slope-intercept form is , where is the slope and is the y-intercept.

Find the values of and using the form .

The slope-intercept form is , where is the slope and is the y-intercept.

Find the values of and using the form .

Compare the slopes of the two equations.

Compare the two slopes in the decimal form. If the slopes are equal, then the lines are parallel. If the slopes are not equal, then the lines are not parallel.

The equations are parallel because the slopes of the two lines are equal.

Parallel

Determine if Parallel y=5x+5 , y=5x-5