Explanation Given: The equations are y = m x + b and y = n x + a . Calculation: Compute the coordinates of the point in terms of m , n , and a and b by solving y = m x + b and y = n x + a . y = m x + b − y = − n x − a _ 0 = m x − n x + b − a m x − n x = a − b x ( m − n ) = a − b x = a − b m − n Hence, x = a − b m − n To determine b. To find: The condition for the intersection of the line in a single point by using part(a).

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

12th Edition

ISBN: 9780321987297

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Question

Chapter 8.5, Problem 3MC

To determine

a.

To find:

The coordinates of the point of the equation y=mx+b and y=nx+a in terms of m, n, and a and b.

To determine

b.

To find:

The condition for the intersection of the line in a single point by using part(a).

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Chapter 8.5, Problem 2MC

Chapter 8.5, Problem 4MC

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Chapter 8 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)

Ch. 8.1 - Use the fact that each prime in the prime...Ch. 8.1 - Find the value of 3 on a calculator. Explain why...Ch. 8.1 - Is it true that a+b=a+b for all a and b? If not,...Ch. 8.1 - The number 227 can be written as an infinite...Ch. 8.1 - a. Use the fact that if a prime p appears in the...Ch. 8.1 - Without using a calculator, order the following....Ch. 8.1 - a. To prove that 2335 a student wrote the...Ch. 8.1 - The sequence 1,1.01,1.001,1.0001,... is an...Ch. 8.1 - Let each number of a group choose a number between...Ch. 8.1 - Prob. 11MC

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a. To find: The coordinates of the point of the equation y = m x + b and y = n x + a in terms of m , n , and a and b.

Solution Summary: The author calculates the coordinates of the point in terms of m, n and a by solving the equations y=mx+b.

Concept explainers

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a.

To find:

The coordinates of the point of the equation y=mx+b and y=nx+a in terms of m, n, and a and b.

b.

To find:

The condition for the intersection of the line in a single point by using part(a).

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Chapter 8 Solutions

a. To find: The coordinates of the point of the equation y = m x + b and y = n x + a in terms of m , n , and a and b.

Solution Summary: The author calculates the coordinates of the point in terms of m, n and a by solving the equations y=mx+b.

Concept explainers

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a. To find: The coordinates of the point of the equation y=mx+b and y=nx+a in terms of m, n, and a and b.

b. To find: The condition for the intersection of the line in a single point by using part(a).

Want to see the full answer?

Chapter 8 Solutions

a.

To find:

The coordinates of the point of the equation y=mx+b and y=nx+a in terms of m, n, and a and b.

b.

To find:

The condition for the intersection of the line in a single point by using part(a).