3 years ago

Write the linear function f such that it has the indicated function values. f(3)= 9, f(-1)= -11

Mathematics

1 answer:

Licemer1 [7]3 years ago

8 0

Answer:

y=1/2x-21/2

Step-by-step explanation:

f(x) contains (3, -9) and (-1, -11)

slope : (-9-(-11)))/(3-(-1))

2/4=1/2

slope : 1/2

y=1/2x+b

-9=3/2+b

b=-21/2

y=1/2x-21/2

You might be interested in

If K is the midpoint of JL, JK = 8x+11 and KL = 14x-1, find JL.

gladu [14]

Step-by-step explanation:

Since, K is the midpoint of JL.

$\therefore \: JK = KL \\ 8x + 11 = 14x - 1 \\ 11 + 1 = 14x - 8x \\ 12 = 6x \\ \frac{12}{6} = x \\ 2 = x \\ \\ \because \: JL = JK + KL \\ \therefore \: JL = 8x + 11 + 14x - 1 \\ \therefore \: JL = 8x + 14x + 11 - 1 \\ \therefore \: JL = 22x + 10\\ \therefore \: JL = 22 \times 2 + 10..(plug \: x = 2) \\ \therefore \:JL = 44 + 10 \\ \huge \red{ \boxed{\therefore \:JL = 54}}$