# 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 32E
To determine

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

Expert Solution

2x+3y18=0

### Explanation of Solution

Given information:

y- intercept 6

Parallel to the line 2x+3y+4=0

Formula used:

Intercept 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

Parallel lines have same slope. So, finding slope of 2x+3y+4=0 . Converting the given line into slope-intercept form.

2x+3y+4=03y=2x+4y=23x+(43)m=23

y-intercept 6, i.e., (0,6)

Applying one point form of line

yy°=m(xx°)(x°,y°)=(0,6)m=23

y6=23(x0)3(y6)=2x3y18+2x=02x+3y18=0

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