Q. 116 Graph the pair of equations聽y=5... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 116 (page 452)

Graph the pair of equations $y = 5 x$ and $y = 5$ in the same rectangular coordinate system.

Short Answer

Expert verified

The graph of given pair of equations is plotted below:

Step by step solution

Step 1. Given information

A pair of equations $y = 5 x$ and $y = 5$ is given.

Step 2. Find three points that are solutions to the equation y=5x.

First take $x = 0$ and solve for $y$ as shown below:

$y = 5 (0) y = 0$

Next take $x = 2$ and solve for $y$ as:

$y = 5 (2) y = 10$

At last take $x = 1$ and solve for $y$ as:

$y = 5 (1) y = 5$

Thus, we get ordered pairs as $(0, 0), (1, 5), (2, 10)$ .

Step 3. Find three points that are solutions to the equation y=5.

The equation $y = 5$ is a horizontal line of the form $y = b$ passing through the y-axis at $(0, b)$ . The equation $y = 5$ has only one variable $y$ and the value of $y$ is constant.

The graph is a horizontal line passing through y-axis at $5$ .

Step 4. Create a table of ordered pairs for both equations.

The tables are created using ordered pairs as shown below:

Table for $y = 5$ is as:

$x$	$y$	$(x, y)$
1	5	(1,5)
-5	5	(-5,5)
10	5	(10,5)

Table for $y = 5 x$ is as:

$x$	$y$	$(x, y)$
2	10	(2,10)
0	0	(0,0)
1	5	(1,5)

Step 5. Graph both equations.

Both equations are plotted on same rectangular coordinate system by plotting the points from the tables and drawing the lines joining the points in the graph as shown below:

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91影视

Graph the pair of equations $y = 5 x$ and $y = 5$ in the same rectangular coordinate system.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find three points that are solutions to the equation y=5x.

Step 3. Find three points that are solutions to the equation y=5.

Step 4. Create a table of ordered pairs for both equations.

Step 5. Graph both equations.

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91影视

Graph the pair of equationsy=5xandy=5 in the same rectangular coordinate system.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find three points that are solutions to the equation y=5x.

Step 3. Find three points that are solutions to the equation y=5.

Step 4. Create a table of ordered pairs for both equations.

Step 5. Graph both equations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Probability and Statistics

Calculus

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Graph the pair of equations $y = 5 x$ and $y = 5$ in the same rectangular coordinate system.