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Chapter 4: Q. 465 (page 540)

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope-intercept form.

Linex鈭�6=0

Pointrole="math" localid="1647558360335" (4,鈭�3)

Short Answer

Expert verified

The equation of the line parallel to x-6=0and passes through the point (4,鈭�3)is

x=4

Step by step solution

01

Step 1. Given information 

The given equation of the parallel line is

x-6=0

The given pass-through point is(4,鈭�3)

02

Step 2. Equation of line 

Rearrange the given equation

x-6=0x=6

The Equation x=6is a vertical line parallel to the y-axis.

the equation of a line parallel to x=6and passes through a point(x1,y1)is x=x1

From point (4,-3),we know that x1=4&y1=-3

Equation of parallel line is

x=x1x=4

so the equation of a line parallel to x-6=0and passes through a point (4,-3)isx=4.

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Most popular questions from this chapter

In the following exercises, find the equation of a line with a given slope and y-intercept. Write the equation in slope-intercept form.

387.slope 4and y-intercept(0,1)

In the following exercises, plot each point in a rectangular coordinate system.

鈸� (鈭�2,0) 鈸� (鈭�3,0)鈸� (0,0) 鈸� (0,4)鈸� (0,2)

Find the intercepts for5x-y=5

Find the intercepts for3x-5y=30

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

2x+y=6

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

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