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Which slope-intercept linear equation is parallel to the graph of y = -2x + 5 and passes through point (1/2, -2)?

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Answer:

Explanation:

From the given equation, you can use - 2 immediately. That is an integer in front of the variable x. It is also the slope of the line. So far what you know is

y = mx + b

y = -2x + b

The given point will be used to determine b, which is the y intercept.

x = 1/2

y = - 2

y = -2x + b Substitute the point values into the partial equation

-2 = -2*1/2 + b

-2 = -1 +b Add 1 to both sides

-2+1 = b

b = - 1

So the answer to your question is

y = -2x - 1

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