/*! 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 93 What is the slope of a line and ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 93

What is the slope of a line and how is it found?

Short Answer

Expert verified
The slope of a line is a measure of how steep the line is. It's found by measuring the vertical change (the 'rise') for a given horizontal change (the 'run'). The formula for finding the slope of a line when given two points (\(x_1\), \(y_1\)) and (\(x_2\), \(y_2\)) on the line is \(m = \frac{{y_2 - y_1}}{{x_2 - x_1}}\).

Step by step solution

01

Understand the Concept of Slope

The slope of a line in a plane is a measure of how steep the line is. It's a measure of the vertical change (rise) for a given horizontal change (run). It's represented by the letter 'm'.
02

The Formula for Slope

The formula for finding the slope of a line when given two points, (\(x_1\), \(y_1\)) and (\(x_2\), \(y_2\)), on the line is \(m = \frac{{y_2 - y_1}}{{x_2 - x_1}}\). This finds the 'rise over run', or the change in the y-coordinates divided by the change in the x-coordinates.
03

Applying the Formula

To apply the formula, subtract the y-coordinates of the two points from each other to get the 'rise'. Then, subtract the x-coordinates of the two points from each other to get the 'run'. Finally divide the 'rise' by the 'run' to get the slope.

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

Use a graphing utility to graph the function. Use the graph to determine whether the function has an inverse that is a function (that is, whether the function is one-to-one). $$ f(x)=\operatorname{int}(x-2) $$

Suppose that \(h(x)=\frac{f(x)}{g(x)} .\) The function \(f\) can be even, odd, or neither. The same is true for the function \(g .\) a. Under what conditions is \(h\) definitely an even function? b. Under what conditions is \(h\) definitely an odd function?

Use a graphing utility to graph the function. Use the graph to determine whether the function has an inverse that is a function (that is, whether the function is one-to-one). $$ f(x)=\sqrt[3]{2-x} $$

Use a graphing utility to graph each function. Use a \([-5,5,1]\) by \([-5,5,1]\) viewing rectangle. Then find the intervals on which the function is increasing, decreasing, or constant. $$g(x)=\left|4-x^{2}\right|$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The graph of \((x-4)+(y+6)=25\) is a circle with radius 5 centered at \((4,-6)\)
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and 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.