   Chapter 1.4, Problem 19E

Chapter
Section
Textbook Problem

In Exercises 19 and 20, determine whether the lines AB and CD are parallel.19. A(1, −2), B(−3, −10) and C(1, 5), D(−1, 1)

To determine
Whether the lines AB and CD are parallel or not.

Explanation

Given:

The points are A(1,2) , B(3,10) , C(1,5) and D(1,1)

Formula used:

The formula to calculate the slope of the equation of line is,

m=y2y1x2x1 (1)

Calculation:

The condition of two lines to be parallel is,

m1=m2

The slope of the line AB is,

Substitute 10 for y2 , 2 for y1 , 3 for x2 , 1 for x1 in equation (1)

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