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Q 37.

Expert-verified

Algebra 1

Found in: Page 272

Book edition Student Edition

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

Pages 801 pages

ISBN 9780078884801

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Short Answer

Write the given equation of line in slope-intercept form.
$y + 3 = 5 (x + 1)$

The equation of the line in slope-intercept form is $y = 5 x + 2$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Slope-intercept form of an equation of a line:

The slope-intercept form of an equation of a line is given by,

$y = m x + b$

Where, slope $= m$ , and, $y -$ axis intercept $= b$

Step 2. Change the equation in slope-intercept form.

The equation is given by,

$\begin{matrix} y + 3 = 5 (x + 1) \\ y + 3 = 5 x + 5 \\ y = 5 x + 5 - 3 \\ y = 5 x + 2 \end{matrix}$

This equation is in slope-intercept form $y = m x + b$ , where $m = 5$ and $b = 2$ .

Therefore, the equation of the line in slope-intercept form is $y = 5 x + 2$ .

Most popular questions for Math Textbooks

In 2000, a camp had 450 campers. Five years later, the number of campers rose to 750. Write a linear equation that represents the number of campers that attend camp.

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

Slope: $- \frac{5}{8}$ , $y$ -intercept: $- 2$

Graph each function.

$f (x) = \{\begin{cases} 2 x - 1 if x < 2 \\ x - 3 if x \geq 2 \end{cases}$

Write an equation of the line that passes through the given points.

$(- 4, 3), (1, 13)$

Write the given equation of line in slope-intercept form.

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

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