Question

A scatter plot is made to model the amount of money left to pay on a credit card. The data used for the scatter plot are shown in the table: Number of Months 3 5 1 2 0 4 Money Owed $1,400 $1,000 $1,800 $1,600 $2,000 $1,200 What does the y-intercept of the model represent?

Answer 1

The y-intercept of the given table is 2000.

Explanation:

Write the table in the ascending order.

From the table, calculate the rise and run to find the slope of the line.

`rise=y_2-y_1.\\run =x_2-x_1.`

Choose points (0,2000) and (1,1800).

rise= -200 and run=1.

Slope m = -200.

The line equation is y=mx+c.

Apply the slop value in the equation,

y= -200x+c.

To find the y-intercept substitute a value in the above equation.

Substitute(1,1800),

1800 = -200(1)+c.

2000=c.

y= -200x+2000.

The y-intercept is the point where the line passes through in the vertical y-axis at the origin.