Question

Slopes of secant lines.

Answer 1

@zepdrix :)

Answer 2

Put each value of x into the function\[y=\frac{ 4 }{ 2-x }\]and calculate the corresponding y-value. Can you do that for the first one?

Answer 3

= -4.44444...

Answer 4

so the first Q point is = (2.9, -4.44..)

Answer 5

Very good. So now you have the the coordinates of point Q on the secant line as (2.9, -4.444444). With point P given as (3, -4), can you calculate the slope of PQ?

Answer 6

4.4444444

Answer 7

Is that correct? :)

Answer 8

Recall that the slope calculation looks like\[m_{PQ} = \frac{ y_Q - y_P }{ x_Q - x_p }\]

Answer 9

Well done. That's correct. Now repeat these same calculations for each part of the question. Don't forget to keep six decimal places to satisfy the question.

Answer 10

Thank you so much!!

Answer 11

You're welcome.