Q. 4.5

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,

$y = 4 x + 3$

Verified

Answer

a. $y$ -intercept is $3$ and slope is $4$

b. Slope is upward for given linear equation.

c. The graph is given below.

1Part(a) Step 1: Given information

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

2Part(a) Step 2: Calculations

General form of linear equation is $y = m x + c$ where $m$ is slope and $c$ is intercept.

Comparing $y = 4 x + 3$ with general form we get,

slope $m = 4$

y-intercept $c = 3$ .

3Part(b) Step 1: Given information

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

4Part(b) Step 2: Answer and its explanation

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

5Part(c) Step 1: Given information

We have to graph the equation.

6Part(c) Step 2: Explanation

The graph is given below