abbym
Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. 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
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.