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Given Point: (0,-1)

Given Line: y=2x+5

If the line you are trying to find the equation of is perpendicular to the line given then the slope of the line you are trying to find must be the negative reciprocal of the line given. The slope of the line given is 2 so the slope of the line perpendicular to this one is -1/2. Using y=mx+b we get that y=(-1/2)x+b. Then we must use the point that was given to find b (the y-intercept).

This means:

-1=(-1/2)(0)+b

-1=b

So the equation is y=(-1/2)x-1

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Q: What is the equation through point 0 negative 1 perpendicular to y equals 2x plus 5?
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