A man drives from work to home. The path from his work to his house can be modeled as a linear equation and the distance is estimated to be 40.315 kilometers. On a map, he determines the coordinates of his home to be H(-3,-15)
and workplace W(2,d).
a) Find the value of d.
b) Determine the equation of the line that models the path the man takes from his house to his workplace.
c) A Coffee shop is located 12.42 km away from his home. How far is the coffee shop from his work place?
d) Assuming the car travels at a constant speed of 40 km/h; how long does it take the man to get to work?
(Assuming he doesn't stop anywhere) round your answer to the nearest hour.​