fractional positive/ negative integer slope?

Question

I'm doing a math project where I have to construct a city using coordinates, midpoints, and distance. one of the requirements is that i have to make a road with a fractional positive slope with a negative y-intercept, and a road with a negative integer slope with a positive y-intercept. I don't know what that means, nor do I know how to approach it let alone solve it. 

Answer 1

Start with the standard slope-intercept form of a linear equation: y = mx + b

 

m = slope = rise over run = (y₂ - y₁)/(x₂ - x₁)

 

b = y-intercept

 

 

You need a grid of perhaps north-south and east-west running streets. Then throw in some diagonally-running streets, like you see in a map of Chicago with N Milwaukee Ave. The diagonal streets will have the rational (fractional) positive slope and the negative integer slope, respectively. Just pick some values and set the origin for the center of the city.

 

For example:

 

y = (1/2)x - 2

 

y =  -3x + 4

 

Set the y-axis for north and south and the x-axis for east and west. Count each unit as one block. Vertical streets are north-south running, and horizontal streets are east-west running.

 

For example:

 

x = ..., -4, -3, -2, -1, 0, 1, 2, 3, 4,...

 

y = ..., -4, -3, -2, -1, 0, 1, 2, 3, 4,...