/*! 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 3.6. Find an equation of a line paral... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q 3.6. (page 286)

Find an equation of a line parallel to the line y=12x-3that contains the point (6,4). Write the equation in slope-intercept form.

Short Answer

Expert verified

The equation isy=12x+1.

Step by step solution

01

Step 1. Find the slope of the given line

The given line is y=12x-3.

The line is already in the slope-intercept form.

Therefore the slope is:

m=12

02

Step 2. Find the slope of the parallel line and identify the point

As we know that parallel lines have the same slope.

Therefore the slope of the parallel line is also 12.

The given point is (6,4).

(x1,y1)=(6,4)

03

Step 3. Substitute the values into the point-slope form

The point-slope form is:

y-y1=m(x-x1)y-4=12(x-6)y-4=12x-3

04

Step 4. Write the equation in slope-intercept form

The slope-intercept form of the equation isy=12x+1.

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 intercepts of the equation3x-2y=12.

In the following exercise, determine the most convenient method to graph each line

3x-2y=-12

Graph the equation by plotting points .

y=2x-3

Graph the equationsx=4andy=3.

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

f(x)=|x|+1
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Decision Maths

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.