Find the equation of the line through point (-4,1) and parallel to y= -1/2x-2.

Step-by-step explanation:

In order for two lines to be parallel they must have the same slope. In other words the m constant in the line equation needs to match

This means for the equation we're trying to find, we already know m. It's just -1/2 since that's the slope of the line it needs to be parallel to.

Next, let's find the constant b. We know the slope, and we know it goes through points (-4, 1), so let's plug this into our equation

Now that we have both constants, we know the equation of the line.

To convince yourself this is correct, let's plot these two lines.

f is the midpoint of

answer: 2530

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