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Chapter 4: Q. 4.135 (page 536)

Find an equation of a line that is perpendicular to the line y=1that contains the point (鈭�5,1). Write the equation in slope-intercept form.

Short Answer

Expert verified

The equation of the line that is perpendicular to the line y=1isx=-5 .

Step by step solution

01

Step 1. Given data 

The given equation of the line is y=1

The point through which the line passes (-5,1)

02

Step 2. Equation of the perpendicular line 

Here the given line y=1is 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 (-5,1), every point on it has an x-coordinate of -5.

Hence the equation of the perpendicular line is x=鈭�5.

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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, plot each point in a rectangular coordinate system

(a) (-3,0)(b) (0,5)(c) (0,-2)(d) (2,0)(e)(0,0)

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

y=2x-5

(a)(0,-5)(b)(2,1)(c)12,-4

In the following exercises, find three solutions to each linear equation.

3x+2y=6

In the following exercises, find three solutions to each linear equation.

x+y=鈭�1
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