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## Homework Statement

5.The small town of Pi-ville wants to construct a road that connects to the Linear Super Highway. The road must provide a route that covers the shortest distance possible from the town to the highway. Write an equation that models the best route for the road.

## Homework Equations

y=mx+b

## The Attempt at a Solution

ok so I am guessing that i have to draw a line from Pi-ville to the linear super highway. Then determine the slope and y-intercept of that line to develop an equation that represent the best route for the road.

i chose to draw a line from pi-ville to the point (0,4) on the linear highway.

then i calculated the slope of the line and determined the y-intercept

(-4, 0) (0, 4)

slope = (y2-y1) /(x2-x1)

slope = (4-0) / 0-(-4)

slope = 4/4 = 1

y-intercept: +4 (since the line crosses the vertical axis at point 4)

an equation to represent the best route for the road is:

y=mx + b

y = 4/4x + 4

is this right?