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.
The Attempt at a Solution
ok so im 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?