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Chapter 4: Q. 462 (page 539)

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�3

Point(鈭�2,鈭�1)

Short Answer

Expert verified

The equation of the line parallel tox=鈭�3and passes through the point (鈭�2,鈭�1)is

x=-2

Step by step solution

01

Step 1. Given information 

The given equation of the parallel line is

x=鈭�3

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

02

Step 2. Equation of line

The Equation x=-3 is a vertical line parallel to the y-axis.

the equation of a line parallel to x=-3and passes through a point (x1,y1)is x=x1

From point localid="1647557270146" (鈭�2,鈭�1)

localid="1647557227517" x1=-2y1=-1

Equation of parallel line is x=-2

so the equation of a line parallel to x=-3and passes through a point (鈭�2,鈭�1)is x=-2

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