BIG IDEAS MATH Integrated Math 1: Student Edition 2016

16th Edition

ISBN: 9781680331127

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 10.5, Problem 3E

To determine

To find: The distance from the given point A to the given line.

Expert Solution & Answer

Answer to Problem 3E

The distance from the given point A to the given line is 10 unit .

Explanation of Solution

Given information:

The given graph is,

BIG IDEAS MATH Integrated Math 1: Student Edition 2016, Chapter 10.5, Problem 3E

The slope of the given line is 3 and the y- intercept is 0 . The slope of the perpendicular line on the given line will be −13

The y -intercept of the perpendicular equation on the given line from point A is obtain as,

y=mx+c7=(−13)(−1)+cc=203

The equation of the perpendicular equation will be,

y=mx+cy=(−13)x+2033y=−x+20

The intersection point of the equations is at (2,6) .

Calculate the distance from the given point A to the given line that is point (2,6) ,

d=(x2−x1)2+(y2−y1)2=(2−(−1))2+(6−7)2=10 unit

Thus, the distance from the given point A to the given line is 10 unit .

Chapter 10.5, Problem 2E

Chapter 10.5, Problem 4E

Chapter 10 Solutions

BIG IDEAS MATH Integrated Math 1: Student Edition 2016

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