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Chapter 4: Q. 4.5 (page 161)

In Exercise 4.5, 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+3

Short Answer

Expert verified

a. y-intercept is 3and slope is 4

b. Slope is upward for given linear equation.

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 of 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=4x+3with general form we get,

slope m=4

y-interceptc=3.

03

Part(b) Step 1: Given information

We have to determine the direction of slope of given linear equation.

04

Part(b) Step 2: Answer and its explanation

As we see the slope is having positive sign so the slope will point in upward direction.

05

Part(c) Step 1: Given information

We have to graph the equation.

06

Part(c) Step 2: Explanation

The graph is given below

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