Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q11.

Expert-verified

Algebra 1

Found in: Page 271

Book edition Student Edition

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

Pages 801 pages

ISBN 9780078884801

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Write an equation of a line in slope-intercept form with the given slope and $y$ -intercept. Then graph the equation.
Slope: $- 2$ , $y$ -intercept: $- 9$

The equation of a line in slope-intercept form with the given slope and $y$ -intercept is.

$y = - 2 x - 9$

The graph of the equation $y = - 2 x - 9$ is:

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write the slope-intercept form of a line.

The equation of line in slope-intercept form is:

$y = m x + b$

Where $m$ is the slope of the line and $b$ is the $y$ -intercept of the line.

Step 2. Write the equation of a line in slope-intercept form having slope −2 and y-intercept −9.

The slope of the line is $- 2$ . Therefore, the value of $m$ is $- 2$ .

The $y$ -intercept of the line is $- 9$ . Therefore, the value of $b$ is $- 9$ .

Now substitute $- 2$ for $m$ and $- 9$ for $b$ in the equation $y = m x + b$ to find the slope-intercept form of the line.

$y = m x + b = (- 2) x + (- 9) = - 2 x - 9$

Therefore, the equation of a line in slope-intercept form with the given slope and $y$ -intercept is $y = - 2 x - 9$ .

Step 3. Draw the graph of the equation y=−2x−9.

The graph of the equation $y = - 2 x - 9$ is:

Most popular questions for Math Textbooks

Graph each equation.

$y = \frac{1}{3} x - 2$

Write an equation in point slope-intercept form that passes through the given point and has the given slope.

$(- 4, 2)$ , slope $- 3$

Write an equation of the line in slope-intercept form that passes through the given points.

$(2, 5)$ , $(- 2, 8)$

Graph each function. State the domain and range.

$f (x) = [2 x]$

Graph each function. State the domain and range.

$f (x) = [x]$

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