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The equation of the normal line

The equation of the normal line-example-1
User MattiSG
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Answer:

D. y = 1/2x + 3/2

Step-by-step explanation:

You probably already know the point slope equation:

y = m(x - x₀) + y₀

All you need is the slope and the (x₀, y₀).

The (x₀, y₀) could be solved by plugging in the given x=-1 value into the function.

m, the slope, is the same as a derivative; ie. a derivative is a slope.

So solve for the derivative and find the slope at x=-1.

Plug into point slope equation and simplify.

The equation of the normal line-example-1
User Rgiar
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