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

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!

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