# The Slope of a Line

(a) What is the slope of the line through (2, 4)

and (x, y) for y = x^2 + x − 2 when:

i. x = 1.99?

ii. x = 2.004?

iii. x = 2 + h?

(b) What happens to this last slope when h is very

small (close to 0)?

(c) Sketch the graph of y = x^2 + x − 2 for x near 2

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#### Solution Preview

a) You have the equation of a curve that is the following.

y=x^2+x-2

i) You need to take the derivative of the ...

#### Solution Summary

This response provides assistance on a calculus question on slopes and graphs.

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