Question

Delaney is a city engineer and needs to create a scale map of the city she has graphed several landmarks on Main Street including the gas station and the post office the gas station lies at the point (1,1) and the post office lies at the point (3,4) The line that passes through the bother of these points represents Main Street the city is drawing up plans to construct a road perpendicular to Main Street what must be the slope of the new road in order to prove it is perpendicular to Main Street express your answer as a whole number or fraction

Answer 1

Slope of Main Street = (4 - 1) / (3 - 1) = 3/2.
Perpendicular slope = negative reciprocal = -2/3.