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Q6.

Expert-verified

Algebra 1

Found in: Page 205

Book edition Student Edition

Author(s) Carter, Cuevas, Day, Holiday, Luchin

Pages 801 pages

ISBN 9780078884801

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Short Answer

Solve each equation by graphing.
$4 x + 2 = 0$

The solution of the equation $4 x + 2 = 0$ is $x = \frac{- 1}{2}$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Draw the graph of the equation y=4x+2.

Substitute 0 for x and find the value of y.

$y = 4 x + 2 = 4 (0) + 2 = 0 + 2 = 2$

Therefore, one of the point that satisfies the equation $y = 4 x + 2$ is $(0, 2)$

Substitute $- 1$ for x and find the value of y.

$y = 4 x + 2 = 4 (- 1) + 2 = - 4 + 2 = - 2$

Therefore, the other point that satisfies the equation $y = 4 x + 2$ is $(- 1, - 2)$

Draw the graph of the equation $y = 4 x + 2$ by using the information that the graph of the equation $y = 4 x + 2$ is a line passing through the points $(0, 2)$ and $(- 1, - 2)$ .

Therefore, the graph of the equation $y = 4 x + 2$ is:

Step 2. Solve the given equation 4x+2=0.

The solution of the equation $4 x + 2 = 0$ by graphing can be obtained by finding the value of x where the graph of $y = 4 x + 2$ intersects the x-axis.

From the graph of $y = 4 x + 2$ , it can be noticed that the graph of $y = 4 x + 2$ intersects the x-axis at the point $(\frac{- 1}{2}, 0)$ .

Therefore, the solution of the given equation $y = 4 x + 2$ is $x = \frac{- 1}{2}$ .

Most popular questions for Math Textbooks

Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.

If $y = 15$ when $x = 2$ , find y when $x = 8$ .

Solve each equation.

$- 4 x - 28 = 0$

The number of people who watch a singing competition can be given by $p = 0.15 v$ , where $p$ represents the number of people in millions who saw the show and $v$ is the number of potential viewers in millions.

a. Make a table of values for the points $(v, p)$ .

b. Graph the equation.

c. Use the graph to estimate the number of people who saw the show if there are 14 million potential viewers.

d. Explain why it would not make sense for $v$ to be a negative number.

Solve each equation for y.

$5 x - 2 y = 12$

Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve.

Suppose you earn $127 for working 20 hours.

a. Write a direct variation equation relating your earning to the number of hours worked.

b. How much would you earn for working 35 hours?

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