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Chapter 4: Q. 464 (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�2=0

Pointrole="math" localid="1647558013339" (1,鈭�2)

Short Answer

Expert verified

The equation of the line parallel to x-2=0and passes through the point (1,鈭�2)is

x=1

Step by step solution

01

Step 1. Given information 

The given equation of the parallel line is

x-2=0

The given pass-through point is(1,鈭�2)

02

Step 2. Equation of line 

Rearrange the given equation

x-2=0x=2

The Equation x=2is a vertical line parallel to the y-axis.

the equation of a line parallel to x=2and passes through a point (x1,y1)is x=x1

From point (1,鈭�2),role="math" localid="1647558235306" x1=1&y1=-2

Equation of parallel line is

x=x1x=1

so the equation of a line parallel to x-2=0and passes through a point (1,鈭�2)isx=1

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Plot each point: 鈸� (4, 0) 鈸� (鈭�2, 0) 鈸� (0, 0) 鈸� (0, 2) 鈸� (0, 鈭�3) .

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