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Chapter 4: Q. 4.136 (page 536)

Find an equation of a line that is perpendicular to the liney=鈭�5 that contains the point (鈭�4,鈭�5) .

Short Answer

Expert verified

The equation of the line that is perpendicular to the line y=-5is .

Step by step solution

01

Step 1. Given data 

The given equation of the line is y=-5

The point through which the line passes(-4,-5)

02

Step 2. Equation of the perpendicular line  

Here the given line y=-5is a horizontal line.

Therefore any line perpendicular to it will be vertical, in the form x=a.

Since the perpendicular line is vertical and passes through (-4,-5), every point on it has an x-coordinate of -4.

Hence the equation of the perpendicular line is x=-4.

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Most popular questions from this chapter

In the following exercises, complete the table to find the solutions to each linear equation :

y=3x-1

xy(x,y)
0

2

-1

In the following exercises, which ordered pairs are solutions to the given equation :

y=4x+3

(a) (4,3)(b)(-1,-1)(c)12,5

In the following exercises, which order pair are solution to the given equation :

3x-2y=12

(a)(4,0)(b)(2,-3)(c)(1,6)

Name the ordered pair of each point shown in the rectangular coordinate system.

Which of the following ordered pairs are solutions to the equation4x-y=8?

(a)(0,8)(b)(2,0)(c)(1,-4)
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