Use function notation to write the equation of the line with the given slope and y-intercept ### Writing Linear Equations in Function Notation#### Problem Statement:Use function notation to write the equation of the line with the given slope and y-intercept.- **Given:** - Slope: \( 8 \) - y-intercept: \( \left(0, \frac{7}{9}\right) \)#### Task:Write the equation of the line using function notation.#### Solution:In function notation, the equation of a line is typically written as \( f(x) = mx + b \), where \( m \) represents the slope and \( b \) represents the y-intercept.Given the slope \( m = 8 \) and the y-intercept \( b = \frac{7}{9} \):The equation of the line can be written as:\[ f(x) = 8x + \frac{7}{9} \](Note: There is a box following "f(x) =", indicating where the equation should be inserted in an educational setting).

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Use function notation to write the equation of the line with the given slope and y-intercept. (0, 3) slope 8; y-intercept 0, Write the equation of the line using function notation. f(x) =

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Use function notation to write the equation of the line with the given slope and y-intercept

### Writing Linear Equations in Function Notation

#### Problem Statement:
Use function notation to write the equation of the line with the given slope and y-intercept.

- **Given:**
- Slope: \( 8 \)
- y-intercept: \( \left(0, \frac{7}{9}\right) \)

#### Task:
Write the equation of the line using function notation.

#### Solution:
In function notation, the equation of a line is typically written as \( f(x) = mx + b \), where \( m \) represents the slope and \( b \) represents the y-intercept.

Given the slope \( m = 8 \) and the y-intercept \( b = \frac{7}{9} \):

The equation of the line can be written as:
\[ f(x) = 8x + \frac{7}{9} \]

(Note: There is a box following "f(x) =", indicating where the equation should be inserted in an educational setting).

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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