Chapter SH, Problem 4.11EP

To determine

To which two streets will get new curbs first.

Answer to Problem 4.11EP

A and T streets will get new curbs first.

Explanation of Solution

Given information:

  

Calculation:

Slope for A street

Y-intercept: $\text{(0 , 2)}$

A line passes through point $\text{(1 , 1)}$

Then,

Slope, m will be

  $m=\frac{1-2}{1-0}$

On solving,

  $m=-1$

Slope for T street

Y-intercept: $\text{(0 , -2)}$

T line passes through point $\text{(-2 , 0)}$

Then,

Slope, m will be

  $m=\frac{0-(-2)}{(-2)-0}$

On solving,

  $m=-1$

Slope for M street

Y-intercept: $\text{(0 , -2)}$

M line passes through point $\text{(2 , 0)}$

Then,

Slope, m will be

  $m=\frac{0-(-2)}{2-0}$

On solving,

  $m=1$

Slope for O street

Y-intercept: (0 , 4)

O line passes through point (-3 , -1)

Then,

Slope, m will be

  

On solving,

  

Since slope of A and T streets are same.

Hence, A and T streets will get new curbs first.