   Chapter 1.4, Problem 87E

Chapter
Section
Textbook Problem

In Exercises 83−87, determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.87. If L is the line with equation Ax + By + C = 0, where A ≠ 0, then L crosses the x-axis at the point (−C/A, 0).

To determine
The line L with equation Ax+By+C=0 , where A0 , then L crosses the x -axis at the point (C/A,0) is true or false.

Explanation

The given equation of the line is,

Ax+By+C=0 (1)

Intersection of the line L with the x -axis, substitute 0 for y in the equations (1),

Ax+B×0+C=0Ax+C=0

Subtract C both side of the above equation,

Ax+CC=0CAx=

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