Q. 4.11 - Elementary Statistics

Question

In Exercise 4.11, 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,

$y=2$

Step-by-Step Solution

Answer

a. $y$-intercept is $2$ and slope is $0$

b. Slope is horizontal.

c. The graph is given below.

Part(a) Step 1: Given information

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

Part(a) Step 2: Calculations

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

Comparing  $y=0x+2$ with general form we get,

slope $m=0$

y-intercept $c=2$

Part(b) Step 1: Given information

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

Part(b) Step 2: Answer and its explanation

As we see the slope is zero so the slope will point in horizontaldirection.

Part(c) Step 1: Given information

We have to graph the equation.

Part(c) Step 2: Explanation

Graph for above linear equation is