Chapter 5 - Linear Functions - 5-6 Parallel and Perpendicular Lines - Practice and Problem-Solving Exercises - Page 331: 25

$y = -1/2*x + 4$

Main Street goes through (2,1) and (3,3) $m = (1-3)/(2-3)$ $m = -2/-1$ $m = 2$ $y=mx+b$ $1 = 2*2+b$ $1 = 4 + b$ $1-4 = 4 +b - 4$ $-3 = b$ Main street: $y = 2x-3$ Perpendicular slopes: $2*m = -1$ $2*m*1/2 = -1*1/2$ $m = -1/2$ Park entrance: (0,4) $y=mx+b$ $4 = -1/2*0 + b$ $4 = 0 + b$ $4 = b$ $y = -1/2*x + 4$