Question

A reporter collected data on y, the current market value, in dollars, of a certain car for various years, ×, after it had has been purchased new. The equation below was to fit to the data.
Equation: y= 16,500-1,500×


What does the slope of the graph of this equation represent?


What does y-intercept of the graph of this equation represent?

Answer 1

The slope represents how much the value decreases per year.

The y-intercept represents the initial value of the car.

Answer 2

Answer: 1.The slope of the graph represents the rate of change of the market value in dollars for change in corresponding years.

2. y intercept represents the initial value of the market.

Step-by-step explanation:

Given: A reporter collected data on y, the current market value, in dollars, of a certain car for various years, x, after it had has been purchased new.

The given equation $y=16,500-1,500x$ is a linear equation( y=mx+c), where slope =-1500, which represents the rate of change of the market value in dollars for change in corresponding years.

For y intercept put x=0 in above equation, we get

$y=16,500$

hence, y intercept represents the initial value of the market.