Question

What is the slope of a line parallel to the line whose equation is 6x + 5y = -5.

Fully simplify your answer.

Answer 1

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`Hello`
`There!`

We need to find the slope of the line that's parallel to 6x+5y=-5.

It's not hard, I promise! I'm going to take you through a few steps, and we'll find the answer.

Are you ready? Let's start. :)

`Procedure:`

➢ First, subtract 6x from both sides:

5y=-5-6x

✦ Switch the order of the terms:

5y=-6x-5

➢ Now, divide both sides by 5:

y=-6/5x-5/5

✦ Which is the same as

`\bold{y=-\displaystyle(6)/(5) x-1}`

➢ Part of the problem's already solved! :)

Now, parallel lines have the same slope.

✦So the slope of the line parallel to 6x+5y=-5 is also:

◉
`\bold{-\displaystyle(6)/(5)}` ☑︎

Problem solved! :)

• hope it's helpful!
• wishing you a great day!

`Greetings !`

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