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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 4: Q16. (page 271)

Graph each equation.
$y = \frac{1}{2} x + 1$

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Find the x and y- intercepts of the equation y=12x+1.

To find the $x$ -intercept, substitute 0 for $y$ and find the value of $x$ .

role="math" localid="1647377924678" $y = \frac{1}{2} x + 1 0 = \frac{1}{2} x + 1 鈭� 1 = \frac{1}{2} x 鈭� 1 脳 2 = x 鈭� 2 = x$

Therefore, the $x$ -intercept is $鈭� 2$ .

As, the $x$ -intercept is $鈭� 2$ that means the graph of $y = \frac{1}{2} x + 1$ will intersect the $x$ -axis at $(鈭� 2, 0)$ .

To find the $y$ -intercept, substitute 0 for $x$ and find the value of $y$ .

role="math" localid="1647378101473" $y = \frac{1}{2} x + 1 y = \frac{1}{2} (0) + 1 y = 0 + 1 y = 1$

Therefore, the $y$ -intercept is 1.

As, the $y$ -intercept is 1 that means the graph of $y = \frac{1}{2} x + 1$ will intersect the $y$ -axis at $(0, 1)$ .

02

Step 2. Draw the graph of the equation y=12x+1.

Draw the graph of the equation $y = \frac{1}{2} x + 1$ by using the information that the graph of the equation $y = \frac{1}{2} x + 1$ is a line passing through the points $(鈭� 2, 0)$ and $(0, 1)$ .

Therefore, the graph of the equation $y = \frac{1}{2} x + 1$ is:

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Most popular questions from this chapter

Which absolute value equation has the graph below as its solution?

A $|x 鈭� 3| = 11$

B $|x 鈭� 4| = 12$

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$y - 12 = - 2 (x - 3)$

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