Q. 4.6

In Exercise 4.6, 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,

$y = 2 x - 1$

Verified

Answer

a. $y$ -intercept is -1 and slope is2

b. Slope is upward.

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 is $m$ slope and $c$ is intercept.

Comparing $y = 2 x - 1$ with general form we get,

slope $m = 2$

y-intercept $c = - 1$

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

Graph for above linear equation is