Question

Which equations and/or functions represent the graphed line? Select three options.

Answer 1

Answer:

The graphed function is

$y = \frac{1}{2} x + 2$

Step-by-step explanation:

We can simplify all of the functions and see which three of them are the same.

The first one is already simplified.

$f(x) = \frac{1}{5} x - 4$

The second one is also already simplified.

$\boxed { y = \frac{1}{2} x + 2 }$

The third one is also already simplified.

$f(x) = \frac{1}{2} x + 1$

The fourth one is

$y - 3= \frac{1}{2} (x - 2)$

Expand to get:

$y - 3 = \frac{1}{2}x - 1$

Add 3 to both sides to get:

$y = \frac{1}{2} x - 1 + 3$

$\boxed { y = \frac{1}{2} x + 2 }$

The last option is

$y - 1 = \frac{1}{2}(x + 2)$

Expand to get:

$y - 1 = \frac{1}{2}x + 1$

Add 1 to both sides to get:

$y = \frac{1}{2} x + 1 + 1$

This simplifies to

$\boxed { y = \frac{1}{2} x + 2 }$

The missing graph is shown in the attachment.

Answer 2

Answer:

f(x) = 1/2x + 2

y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

Step-by-step explanation: