Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q26.

Expert-verified

Pre-algebra

Found in: Page 410

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Write the equation in function form. Then graph the equation.
$3 x - y = 5$

The function form of the equation is $y = 3 x - 5$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given equation is $3 x - y = 5$ .

Step 2. Calculation.

To write the given equation in function form, we need to convert our equation in slope-intercept form $(y = m x + b)$ as:

\begin{matrix} 3 x - y = 5 (Given equation) \\ 3 x - 3 x - y = 5 - 3 x (Subtracting 3 x from both sides) \\ - y = - 3 x + 5 \\ - y (- 1) = - 1 (3 x - 5) (Multiplying both sides by - 1) \\ y = 3 x - 5 \end{matrix}

Therefore, the function form of our given equation would be $3 x - y = 5$ .

We can see that the slope of our given equation is 3 and the y-intercept is $(0, - 5)$ .

Upon graphing our given equation, we will get our required graph as shown below:

Step 3. Conclusion.

The above graph is the required graph.

Most popular questions for Math Textbooks

Find the value of a that makes the ordered pair a solution of the equation.

y = 2 x + 5; (- 1, a)

Tell whether the ordered pair is a solution $y = 5 x - 7$ .

3. $(2, 3)$ 4. $(0, - 6)$ 5. $(4, 14)$ 6. $(- 3, - 22)$

Tell whether the relation represented by the graph is a function.

Solve the equation Check your solution.

- 18 = 3 (w - 1)

Describe the difference between an equation and an inequality.

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free