Chapter 3: Q. 397 (page 353)

In the following exercises, graph by plotting points
$y = \frac{1}{2} x + 3$

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

Step 1. Given Information

Equation to be plotted is

$y = \frac{1}{2} x + 3$ ...............equation (1)

Step 2. To find three points whose coordinates are solution to the equation

When $x = 0$

$y = \frac{1}{2} \times 0 + 3 y = 0 + 3 y = 3$

when $x = - 4$

$y = \frac{1}{2} (- 4) + 3) y = - 2 + 3 y = 1$

When $x = 2$

$y = \frac{1}{2} \times 2 + 3 y = 1 + 3 y = 4$

Now arrange these points in a table

x	y	(x,y)
0	3	(0,3)
2	4	(2,4)
-4	1	(-4,1)

Step 3. Plot these points in a rectangular coordinate system

points(0,3), (-4,1) and (2,4) are plotted as

Step 4. Draw the line through three points and extend the line.

The line is the graph of $y = \frac{1}{2} x + 3$

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In the following exercises, graph by plotting points
$y = \frac{1}{2} x + 3$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find three points whose coordinates are solution to the equation

Step 3. Plot these points in a rectangular coordinate system

Step 4. Draw the line through three points and extend the line.

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In the following exercises, graph by plotting points y=12x+3

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find three points whose coordinates are solution to the equation

Step 3. Plot these points in a rectangular coordinate system

Step 4. Draw the line through three points and extend the line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

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Study anywhere. Anytime. Across all devices.

In the following exercises, graph by plotting points
$y = \frac{1}{2} x + 3$