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HELP! Write an equation of a line that is parallel to y=-2x+3

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Answer:

y = -2x

Explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = -2x + 3. Its slope is -2. A line parallel to this one will also have a slope of -2.

Plug this value (-2) into your standard point-slope equation of y = mx + b.

y = -2x + b

This question only asks for a line parallel to y = -2x + 3.

This means we can plug in any number (except 3) for b. We cannot plug in 3 because then it will be the same equation!

To make things simple, we can use 0 and therefore leave it out.

y = -2x

This line is parallel to y = -2x + 3.

Hope this helps!

User Erik Bender
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