On a map of downtown Lineville, 12th Street is perpendicular to Avenue J. The equation y = -4x + 3 represents 12th Street. What is the equation of Avenue J if it passes through the point (8, 16)?

y = 1/4x + 3

y = -4x + 48

y = -4x + 14

y = 1/4x + 14

Question

On a map of downtown Lineville, 12th Street is perpendicular to Avenue J. The equation y = -4x + 3 represents 12th Street. What is the equation of Avenue J if it passes through the point (8, 16)?
		

y = 1/4x + 3
		

y = -4x + 48
		

y = -4x + 14
		

y = 1/4x + 14

anonymous · Answer

The formula for a line perpendicular to a line starts with defining the slope. The slope of a perpendicular line is the negative inverse of the line it is perpendicular to.