First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. The slope of the line is -3/8. A parallel line will have the same slope, thus -3/8 is the correct answer.

How do I find the equation of a parallel line?

In two dimensions, parallel lines have the same slope . We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope.

What is a parallel slope?

Note that two lines are parallel if their slopes are equal and they have different y-intercepts. Perpendicular Lines and Their Slopes. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line.