You are traveling in a car at 60 miles per hour and are 400 miles away from your destination. Equation y = 400 - 60x is used to represent the distance from your destination after x hours. Identify the slope and the y intercept and explain what they mean.

Answer: slope = - 60, y - intercept = 400

Step-by-step explanation:

Given:

y = 400 - 60x

comparing with the equation of the line in slope - intercept form

y = mx + c, where m is the slope and c is the y - intercept

then;

slope = - 60

y - intercept = 400

(ii) The interpretation of the slope and the intercept.

Recall that speed = distance / time, that is

distance = speed x time.

it was given that the car is travelling 60 miles per hour, and the equation is used to model the distance from destination after x hours.

And you are 400 miles away from your destinations, this means that after x hours, you have traveled 60x miles, to know how far you are to your destination, the distance covered after x hours will be subtracted from how far you are away from your destination, that is

400 - 60 x.

The means that the y in the equation represent how far you will be to your destination after x hours.