At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Write a linear function f with f(-4)=2 and f(6=-3 . Please help, I don't understand

Sagot :

hbj

Answer:

y = -1/2x

Step-by-step explanation:

f(-4) = 2

f(6) = -3

Your points are:

(-4, 2) & (6, -3)

Use the slope formula:

slope: (y₂ - y₁) / (x₂ - x₁)

Plug in values:

(-3 - 2) / (6 - (-4))

Simplify:

= (-5) / (10)

= -1/2

The basic equation is:

y = mx + b

Plug in your slope of -1/2 as m:

y = -1/2x + b

Plug in a point to find b.

2 = -1/2(-4) + b

2 = 2 + b

0 = b

Your equation is:

y = -1/2x

Check by plugging in the other point.

-3 = -1/2(6)

-3 = -3

Your equation is correct.

Hope this helps!