Explanation If two lines are perpendicular, their slopes are negative reciprocals of each other. The original equation is written in slope-intercept form, y=mx+b, where m is the slope. In this equation, m=-3=-3/1.
In the new equation, the slope would be the opposite sign and flipped; this means it would be 1/3.
We can use the point given, the slope and slope-intercept form to write the equation of the new line: