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Chapter 1: Q. 43 (page 41)

Find an equation of the line L.

Short Answer

Expert verified

The equation of line isx+2y=5

Step by step solution

01

Step 1. Given Information

The given graph is

02

Step 2. Explanation  

From the given figure, we know the line is perpendicular to line y=2x

On comparing with the equation of line, we get the slope of line as 2 and as lines are perpendicular so the slope of the other line will be negative reciprocal of 2 which is-12

Substitute the values in the general form of equation of slope- line format.

role="math" localid="1645947319658" y-y1=m(x-x1)y-2=-12(x-1)y-2=-x2+12y=-x2+522y=-x+5x+2y=5

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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.

x2-3x-28=0

Graph the line containing the point P and having slope m.

P(2,-4),m=0

If -3and 5 are the coordinates of two points on the real number line, the distance between these points is _________.

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

Which form of the equation of a line do you prefer to use? Justify your position with an example that shows that your choice is better than another. Have reasons.
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