Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q14.

Expert-verified

Algebra 1

Found in: Page 244

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 in point-slope form for the line that passes through each point with the given slope.
$(8, 3), m = - 2$

The equation of the straight line for the given condition is $y = - 2 x + 19$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. State the concept of a straight line.

The standard form of slope and intercept form of the straight line is $y = m x + c$ .

Here, $m$ is the slope of the straight line and $c$ is the $y$ -intercept of the equation.

Step 2. State the equation of a line slope-point form.

The standard form of slope and point form of the straight line is $y - y_{1} = m (x - x_{1})$

Here $m$ is the slope of the straight line and is the point from which the straight line passes.

$(x_{1}, y_{1}) = (8, 3) m = - 2$

Step 3. Substitute the values to get the required equation.

Substitute the above values in the equation $y - y_{1} = m (x - x_{1})$

$y - y_{1} = m (x - x_{1}) y - 3 = - 2 (x - 8) y - 3 = - 2 x + 16 y = - 2 x + 19$

The equation of the straight line is $y = - 2 x + 19$ .

Most popular questions for Math Textbooks

State whether each sentence is true or false. If false replace the underlined word or number to make a true sentence.

Lines that intersect at acute angles are called perpendicular lines.

Graph each equation.

$- 4 x + y = 2$

Write each equation in standard form.

$y - 5 = - 2 (x - 3)$

A shipping company charges $$ 8.50$ to ship packages that weigh up to 1 pound and role="math" localid="1647336641330" $$ 7 .25$ for each additional pound. Which of the following piecewise-defined functions represents the cost C of shipping a package that weighs p pounds?

A $C (p) = \{\begin{cases} 8.50 if p \leq 1 \\ 8.50 + 7.25 p if p > 1 \end{cases}$

B $C (p) = \{\begin{cases} 7.25 if p \leq 1 \\ 7.25 + 8.50 p if p > 1 \end{cases}$

C $C (p) = \{\begin{cases} 8.50 if p \leq 1 \\ 8.50 p + 7.25 (p - 1) if p > 1 \end{cases}$

D $C (p) = \{\begin{cases} 8.50 if p \leq 1 \\ 8.50 + 7.25 (p - 1) if p > 1 \end{cases}$

Write an equation in point-slope form for the line that passes through each point with the given slope.

$(- 2, - 1), m = - 3$

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