Q. 4.10 - Elementary Statistics

Question

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. 

$y=-0.75x-5$

Step-by-Step Solution

Answer

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

b. Slope is downward.

c. The graph is given below.

Part(a) Step 1: Given information

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

Part(a) Step 2: Calculations

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

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

slope $m=-0.75$

y-intercept $c=-5$

Part(b) Step 1: Given information

We have to determine the direction of slope.

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.

Part(c) Step 1: Given information

We have to graph the equation.

Part(c) Step 2: Explanation

Graph for above linear equation is