/*! 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 195. In the following exercises, find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q 195. (page 293)

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form.

Line:y=4x+2Point:(1,2)

Short Answer

Expert verified

The equation in slope-intercept form:y=4x-2

Step by step solution

01

Step 1. Given Data

Line:y=4x+2Point:(1,2)

02

Step 2. Find the slope of the given line.

The line is in slope-intercept form:

y=mx+cy=4x+2Wecansee,m=4

03

Step 3. Find the slope of the parallel line.

Parallel lines have the same slope.

Therefore,

m鈭�=4

04

Step 4. Point slope form. 

The given point is:(1,2)

Substitute the values in the point-slope form which is:

y-y1=m(x-x1)y-2=4(x-1)y-2=4x-4

05

Step 5. Write the equation in slope-intercept form.

Slope-interceptform:y-2=4x-4y=4x-4+2y=4x-2

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

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.
(-2,1),(-3,-1),(4,-4),(-4,4),(-4,32)

Find an Equation of the Line Given Two Points (7,1)and (5,0). Write the equation in slope鈥搃ntercept form.

Graph the equation2x-y=-8using the intercepts.

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.

Slope-4and y-intercept0,0.

Find the intercepts of the graph

.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

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.