What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

Divide both sides by -2

Now, we can identify clearly that the slope of the given line is since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of as well. Plug this into :

2) Determine the y-intercept (b)

Plug in the given point (-6,-8)

Add 3 to both sides to isolate b

Therefore, the y-intercept is -5. Plug this back into :

I hope this helps!

10% of increase is the final answer! : )

4th option is correct xy=-10

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