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Chapter 1: Q. 69 (page 41)

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

Perpendicular to the linex=8

Containing the point(3,4)

Short Answer

Expert verified

The equation of the line isy=4

Step by step solution

01

Step 1. Given information

The perpendicular line is x=8

The point is(3,4)

02

Step 2. Finding the slope of line

Firstly, find the slope of a perpendicular line

x=8is the vertical line

Since the perpendicular to the vertical line is always horizontal line and slope of horizontal line will always be zero.

So, slope is

m=0

03

Step 3. Finding the equation of line

The slope of line is

m=0

The point is

(x1,y1)=(3,4)

Apply point-slope formula

y-4=0(x-3)y-4=0y=0+4y=4

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Most popular questions from this chapter

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

(-1,1);(2,3)

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.

True or False Two triangles are congruent if two angles and the included side of one equals two angles and the included side of the other.

The coordinate axes divide the xy-plane into four sections called _________.

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

P(1,3),m=-25
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