/*! 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} Q. 26 Write an equation in slope-inter... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 26 (page 79)

Write an equation in slope-intercept form for the line that satisfies each set of conditions.

slope 32, passes through -5,1

Short Answer

Expert verified

The equation of the required straight line in slope-intercept form is y=32x+172.

Step by step solution

01

Step 1. State the concept

The slope intercept form of a straight-line equation is y=mx+c where mis the slope and c is the y-intercept.

The equation of a straight-line having slope m and passing through the point h,kis given as y-k=mx-h.

02

Step 2. List the given data

It is given that the slope of the line is 32 and the line passes through -5,1.

Then, m=32 and h,k=-5,1.

03

Step 3. Write the equation

Put m=32 and h,k=-5,1 in y-k=mx-h to get,

y-1=32x--5

y-1=32x+5 (Simplify)

y-1=32x+152 (Distributive property)

y-1+1=32x+152+1 (Add 1 to both sides)

y=32x+172 (Simplify)

So, the required equation of the straight line in slope-intercept form is y=32x+172.

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

If n is a prime integer such that2n>19鈮�78nwhat is one possible value of n?

Choose the correct term to complete each sentence.

1.The variable whose values make up the domain of a function is called the
(independent, dependent) variable.

Graph each equation or inequality

鈥夆赌墆&濒迟;4x鈭�1

62. Which function is linear

(A)f(x)=x2

Bgx=2.7

(C)g(x)=x鈭�1

(D)f(x)=9鈭�x2

Graph each equation or inequality

13.鈥�鈥�鈥�鈥�f(x)=3x+3
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

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.