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Chapter 1: Q. 63 (page 41)

Find an equation for the line with the given properties. Express your answer using either the general form or the slope鈥搃ntercept form of the equation of a line, whichever you prefer.

Parallel to the linex=5, containing the point(4,2)

Short Answer

Expert verified

The equation of line isx=4

Step by step solution

01

Step 1. Given Information 

The given point is(4,2) and the equation of parallel line isx=5

02

Step 2. Calculation  

It is clear that x=5is a vertical line which implies that line parallel to it is also a vertical line and the equation of vertical line can be obtained by x=a

Thus, the point given is x=4,y=2which implies that a=4

Hence, the required equation of line isx=4

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.
x3+2x2-9x-18=0

Plot the points (2,0),(2,-3),(2,4),(2,1), and (2,-1). Describe the set of all points of the form (2,y), where y is a real number.

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(4,2);(-5,2)

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x3+x2-4x-4=0

If two distinct lines have the same y

intercept, but different slopes, can they have the same x-intercept?
See all solutions

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