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[tex]Hello[/tex] [tex]There![/tex]
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. :)
[tex]Procedure:[/tex]
➢ 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
[tex]\bold{y=-\displaystyle\frac{6}{5} x-1}[/tex]
➢ 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:
◉ [tex]\bold{-\displaystyle\frac{6}{5}}[/tex] ☑︎
Problem solved! :)
- hope it's helpful!
- wishing you a great day!
[tex]Greetings ![/tex]
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