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Chapter 12: Q.12.1 (page 680)

Is the following an example of a linear equation?

y=–0.125–3.5x

Short Answer

Expert verified

y=-0.125-3.5xis a linear equation.

Step by step solution

01

Given information

Given in the question that, We have to find that whether the following is an example of a linear equation

y=–0.125–3.5x

02

Explanation

The linear equation is an equation of two variables with one independent variable and one dependent variable. It has the below form:

y=a+bx

Here,

a-y-intercept

b-the slope

The variableyis the dependent variable and xis an independent variable.

The given equation is written below:

y=-0.125-3.5x

This above equation is of the same form as equation (1).

Here,a=-0.125 is the y-intercept and b=-3.5 is the slope. Hence, y=-0.125-3.5x is a linear equation.

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Most popular questions from this chapter

58. Piece-rate systems are widely debated incentive payment plans. In a recent study of loan officer effectiveness, the following piece-rate system was examined:

%of goal reached
<80
80
100
120
Incentive
n/a
\(4,000with an additional \)125added per percentage point from 81-99%
\(6,500with an additional \)125added per percentage point from 101-119%
\(9,500with an additional \)125added per percentage point from 121%

If a loan officer makes 95%of his or her goal, write the linear function that applies based on the incentive plan table. In context, explain the

y-intercept and slope.

Find the correlation coefficient.

a. \(r=\)___

53. What effect did the potential outlier have on the line of best fit?

A credit card company charges \(10when a payment is late, and \)5a day each day the payment remains unpaid.

Find the equation that expresses the total fee in terms of the number of days the payment is late.

The maximum discount value of the Entertainment® card for the “Fine Dining” section, Edition ten, for various pages is given in Table 12.21.

a. Decide which variable should be the independent variable and which should be the dependent variable.

b. Draw a scatter plot of the ordered pairs.

c. Calculate the least squares line. Put the equation in the form of: \(\hat{y}=a+bx\)
See all solutions

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