Q12. Write an equation of a line in s... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 4: Q12. (page 271)

Write an equation of a line in slope-intercept form with the given slope and $y$ -intercept. Then graph the equation.
Slope: $\frac{2}{3}$ , $y$ -intercept: 3

Short Answer

Expert verified

The equation of a line in slope-intercept form with the given slope and $y$ -intercept is $y = \frac{2}{3} x + 3$ .

The graph of the equation $y = \frac{2}{3} x + 3$ is:

Step by step solution

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 23 and y-intercept 3.

The slope of the line is $\frac{2}{3}$ . Therefore, the value of $m$ is $\frac{2}{3}$ .

The $y$ -intercept of the line is 3. Therefore, the value of $b$ is 3.

Now substitute $\frac{2}{3}$ for $m$ and 3 for $b$ in the equation $y = m x + b$ to find the slope-intercept form of the line.

$y = m x + b = (\frac{2}{3}) x + (3) = \frac{2}{3} x + 3$

Therefore, the equation of a line in slope-intercept form with the given slope and $y$ -intercept is $y = \frac{2}{3} x + 3$ .

Step 3. Draw the graph of the equation y=23x+3.

The graph of the equation $y = \frac{2}{3} x + 3$ is:

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91影视

Write an equation of a line in slope-intercept form with the given slope and $y$ -intercept. Then graph the equation.
Slope: $\frac{2}{3}$ , $y$ -intercept: 3

Short Answer

Step by step solution

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

Step 2. Write the equation of a line in slope-intercept form having slope 23 and y-intercept 3.

Step 3. Draw the graph of the equation y=23x+3.

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Recommended explanations on Math Textbooks

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91影视

Write an equation of a line in slope-intercept form with the given slope andy-intercept. Then graph the equation.Slope: 23, y-intercept: 3

Short Answer

Step by step solution

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

Step 2. Write the equation of a line in slope-intercept form having slope 23 and y-intercept 3.

Step 3. Draw the graph of the equation y=23x+3.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Logic and Functions

Discrete Mathematics

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

Write an equation of a line in slope-intercept form with the given slope and $y$ -intercept. Then graph the equation.
Slope: $\frac{2}{3}$ , $y$ -intercept: 3