/*! 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 83 If one point on a line is \((3,-... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 83

If one point on a line is \((3,-1)\) and the line's slope is \(-2,\) find the \(y\) -intercept.

Short Answer

Expert verified
The y-intercept is 5.

Step by step solution

01

Understand the slope-intercept form

The equation of a line can be written in the form \(y = mx + c\), where m is the slope and c is the y-intercept.
02

Substitute the given point and slope into the equation

Substituting the given point \((3,-1)\) and the slope \(-2\) into our equation gives us \(-1 = -2(3) + c\). This equation then simplifies to \(-1 = -6 + c\).
03

Solve for the y-intercept

Solving for c by rearranging the equation \(-1 = -6 + c\), we get \(c = -1 + 6\). Solving that, we get \(c = 5\).

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

In Exercises \(105-108,\) you will be developing functions that model given conditions. A car was purchased for \(\$ 22,500\). The value of the car decreased by \(\$ 3200\) per year for the first six years. Write a function that describes the value of the car, \(V,\) after \(x\) years, where \(0 \leq x \leq 6 .\) Then find and interpret \(V(3)\)

determine whether each statement makes sense or does not make sense, and explain your reasoning. To avoid sign errors when finding \(h\) and \(k,\) I place parentheses around the numbers that follow the subtraction signs in a circle's equation.

give the center and radius of the circle described by the equation and graph each equation. Use the graph to identify the relation's domain and range. $$ (x-2)^{2}+(y-3)^{2}=16 $$

In your own words, describe how to find the distance between two points in the rectangular coordinate system.

If \(f(x)=3 x+7,\) find \(\frac{f(a+h)-f(a)}{h}\)
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Statistics

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.