Chapter 3: Q5A. (page 156)

Graph each equation by making a table.
$2 x - y = 2$ .

Short Answer

Expert verified

The table of values for the points $(x, y)$ is:

$x$	$y$	$(x, y)$
0	$- 2$	$(0, - 2)$
1	0	$(1, 0)$
$\frac{1}{2}$	$- 1$	$(\frac{1}{2}, - 1)$
2	2	$(2, 2)$

The graph of the equation $2 x - y = 2$ is:

Step by step solution

Step 1. Find the values of y for some values of x.

Find the value of $y$ for $x = 0$ .

localid="1647332667913" $2 x - y = 2 2 (0) - y = 2 0 - y = 2 - y = 2 y = - 2$

Find the value of $y$ for $x = 1$ .

localid="1647332925346" $2 x - y = 2 2 (1) - y = 2 2 - y = 2 2 - 2 = y 0 = y$

Find the value of $y$ for $x = \frac{1}{2}$ .

localid="1647338321114" $2 x - y = 2 2 (\frac{1}{2}) - y = 2 1 - y = 2 1 - 2 = y - 1 = y$

Find the value of $y$ for $x = 2$ .

$2 x - y = 2 2 (2) - y = 2 4 - y = 2 4 - 2 = y 2 = y$

Step 2. Make a table of values for the points x,y.

The table of values for the points $(x, y)$ is:

$x$	$y$	$(x, y)$
0	$- 2$	$(0, - 2)$
1	0	$(1, 0)$
$\frac{1}{2}$	$- 1$	$(\frac{1}{2}, - 1)$
2	2	$(2, 2)$

Step 3. Graph the equation 2x−y=2.

The plot of the points $(x, y)$ is:

Draw the graph of the equation $2 x - y = 2$ by joining the plotted points.

Therefore, the graph of the equation width="69">2x−y=2is:

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Graph each equation by making a table.
$2 x - y = 2$ .

Short Answer

Step by step solution

Step 1. Find the values of y for some values of x.

Step 2. Make a table of values for the points x,y.

Step 3. Graph the equation 2x−y=2.

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Graph each equation by making a table.2x−y=2.

Short Answer

Step by step solution

Step 1. Find the values of y for some values of x.

Step 2. Make a table of values for the points x,y.

Step 3. Graph the equation 2x−y=2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Applied Mathematics

Geometry

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Calculus

Study anywhere. Anytime. Across all devices.

Graph each equation by making a table.
$2 x - y = 2$ .