/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 48 Find an equation of the line sat... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 48

Find an equation of the line satisfying the conditions. Write your answer in the slope-intercept form. Passes through \((-3,3)\) and has slope 0

Short Answer

Expert verified
The equation of the line that passes through the point \((-3, 3)\) and has a slope of 0 is \(y = 3\).

Step by step solution

01

Identify the given slope and the point.

The given slope is 0, and the point the line passes through is (-3,3).
02

Plug in the slope and the point to find the y-intercept "b".

Using the slope-intercept form \(y = mx + b\), we plug in the given slope 0 and the given point \((-3, 3)\) into the equation: \[3 = 0(-3) + b\]
03

Solve for "b".

Solve the equation in Step 2 for "b": \[3 = 0 + b\] \[b = 3\]
04

Plug in the values of "m" and "b" into the slope-intercept form equation.

Now that we have the values of "m" and "b", we plug them into the equation \(y = mx + b\) to find the equation of the line: \[y = 0x + 3\]
05

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

The final equation of the line in slope-intercept form is: \[y = 3\]

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the zero(s) of the function f to five decimal places. $$ f(x)=\sin 2 x-x^{2}+1 $$

Write the expression in algebraic form. $$ \cot \left(\sec ^{-1} x\right) $$

Plot the graph of the function \(f\) in an appropriate viewing window. (Note: The answer is not unique.) $$ \begin{array}{l} f(x)=-2 x^{4}+5 x^{2}-4\\\ \text { 7. } f(x)=\frac{x^{3}}{x^{3}+1} \end{array} $$

Find the exact value of the given expression. $$ \cos ^{-1}\left(-\frac{1}{\sqrt{2}}\right) $$

Let $$ f(x)=\left\\{\begin{array}{ll} 2 x-1 & \text { if } x<1 \\ \sqrt{x} & \text { if } 1 \leq x<4 \\ \frac{1}{2} x^{2}-6 & \text { if } x \geq 4 \end{array}\right. $$ Find \(f^{-1}(x)\), and state its domain.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.