abbym
Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The equation y= -0.04x+12 gives the number of gallons of gas in your car, where x is the number of miles driven.
a. Graph the equation.
b. Interpret the slope and y-intercept of the line.

Sagot :

anniedavies96
a. you can graph the equation by inputting numbers for x - i recommend the range from -3 to 3. this will give you a y value, and then both can be used as coordinates to plot points on a graph. These will outline your linear line.

b. the slope can be calculated by using the equation: change in y / change in x, or (y_1 - y_2) / (x_1 - x_2) where (x_1, y_1) and (x_2, y_2) are both points on the line.

the y intercept is the value of y when x = 0, or where the line crosses the x axis. 

Answer:

The graph is attached.

The negative slope means that the relation between variables is not directly proportional, that is, the more number of miles driven, less number of gallons of gas we have in our cars, this is an inverse proportion, while one increases, the other one decreases.

On the other hand, the y-intercept indicates the number of gallons of gas in the car when the car is not moving yet, that is, when the number of miles are zero. So, in this case, before the car moves, there are 12 gallons of gas in the car.

View image jajumonac
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.