Two roads on a small map are modeled by lines: Road A goes through (0,0) and (4,6); Road B goes through (0,0) and (3,5). A city planner asks which road is steeper and by what factor is the steepness greater? Compute and justify.

Road B is steeper because its rise 5 is greater than Road A's rise 6 over comparable distances

They are equally steep because both roads start at the origin and have proportional coordinates

Road A is steeper; slopeA = 3/2 and it is 1.5 times as steep as Road B

Road B is steeper; slopeB = 5/3 and it is 10/9 (about 1.11) times as steep as Road A