Question

Slopes of secant (cont)

Answer 1

do I get part b by averaging the slopes of iv and v?

Answer 2

@ospreytriple :) continued from the last problem

Answer 3

which is 3.818382

Answer 4

Examine the slopes from part A. As the x-coordinate gets closer and closer to 3, the slopes seem to approach what number? Note that some of the x-coordinates in part A approach 3 from below and some approach 3 from above.

Answer 5

approaches 0?

Answer 6

No. You have slopes approaching from below of 4.444444, 4.040404, 4.004004, and 4.000400. You have slopes approaching from above of 3.636363, 3.960396, 3.996003, and 3.999600. They seem to be closing in on what number?

Answer 7

4

Answer 8

Exactly. That's the answer to part B.

Answer 9

And for part C, you now have the slope (4) and the coordinates of point P so you can figure out the equation of the line.

Answer 10

Er is the equation (part c) : y=4x-16

Answer 11

Correct. Excellent work.

Answer 12

Yay! Thanks.
hrm. It says that part a.vii is wrong. I may have rounded it incorrectly o.o

Answer 13

Probably a rounding error. Just double check your calcs.

Answer 14

Yeah that was it.

Answer 15

Thank you :)

Answer 16

You're welcome.