Write an equation in slope-intercept form for the line that is parallel to the line 6x + 2y = 2 and passes through the point (-1, 7).

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

Rearrange this equation in slope-intercept form (so it's easier for us to identify the slope)

Subtract 6x from both sides to isolate 2y

Divide both sides by 2 to isolate y

Now, we can tell clearly that -3 is in the place of m. Therefore, because parallel lines have the same slope, we know that the line we're solving for will also have a slope of -3. Plug this into :

2) Determine the y-intercept

Plug in the given point (-1,7)

Subtract 3 from both sides

Therefore, the y-intercept of the line is 4. Plug this back into :

I hope this helps!

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