Question

How do I do this? Please explain it. Thank you.

Answer 1

slope = -
`(14)/(3)`

Explanation:

the slope of the secant line in the closed interval [a, b ] is

slope =
`(f(b)-f(a))/(b-a)`

here [a, b ] = [1, 4 ]

f(b) = f(4) = -
`2^(4)` + 5 = - 16 + 5 = - 11

f(a) = f(1) = -
`2^(1)` + 5 = - 2 + 5 = 3

slope =
`(-11-3)/(4-1)` =
`(-14)/(3)` = -
`(14)/(3)`