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Chapter 4: Q. 4.10 (page 161)

In Exercise 4.10, we give linear equations. For each equation,

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

y=-0.75x-5

Short Answer

Expert verified

a. y-intercept is -5and slope is -0.75

b. Slope is downward.

c. The graph is given below.

Step by step solution

01

Part(a) Step 1: Given information

We need to find y-intercept and slope if given linear equation.

02

Part(a) Step 2: Calculations

General form of linear equation is y=mx+cwhere mis slope and cis intercept.

Comparing y=-0.75x-5with general form we get,

slope m=-0.75

y-interceptc=-5

03

Part(b) Step 1: Given information

We have to determine the direction of slope.

04

Part(b) Step 2: Answer and its explanation

As we see the slope is having negative sign so the slope will point in downward direction.

05

Part(c) Step 1: Given information

We have to graph the equation.

06

Part(c) Step 2: Explanation

Graph for above linear equation is

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Most popular questions from this chapter

In Exercise 4.8, we give linear equations. For each equation,

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

Given equation is,

y=-4x-8

In Exercise 4.9, we give linear equations. For each equation,

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

Given equation is,

y=0.5x-2

For each exercise, determine the linear correlation coefficient by using

a. Definition 1.8 on page 183.

b. Formada 4.4 a pace 185.

Compare your answers in parts a) and (b).

Estriol Level and Birth Weight. The data for estriol levels of pregnant women and birth weights of their children from Exercise 4.115are on the Weiss 5tats site.

a. Decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate, If so, then also parts (b)and (c).

b. Obtain the linear correlation coefficient.

c. Interpret the value ofrin terms of the linear relationship between the two variables in question.

PCBs and Pelicans. The data on shell thickness and concentration of PCBs for 60Anacapa pelican eggs from Exercise 4.76 are on the WeissStats site.

a. decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate. If so, then also do parts (b) and (c).

b. obtain the linear correlation coefficient.

c. interpret the value of r in terms of the linear relationship between the two variables in question.
See all solutions

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