# Equation of the line that satisfies the given condition. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.10, Problem 38E
To determine

## Equation of the line that satisfies the given condition.

Expert Solution

2xy7=0

### Explanation of Solution

Given information:

(2,11)

Perpendicular to the line passing through (1,1),(5,1)

Formula used:

• Slope of a line= m=y2y1x2x1

Where (x1,y1),(x2,y2) are coordinates of points lying on the line.

• Slope of two perpendicular line is given by m1m2=1 where m1,m2 are slopes of perpendicular lines.
• One point form of line= yy°=m(xx°)

Where (x,y) is a any point on line and (x°,y°) is a known point on line and m is slope of line

Slope of line passing through (1,1),(5,1)

m=y2y1x2x1m=1151m=24m=12

Finding the slope of required line with the help of slope of given line

m1m2=112m2=1m2=2

y(11)=2(x(2))y+11=2(x+2)y+11=2x+42xy11+4=0

2xy7=0

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