Respuesta :

Answer:

[tex]y=2x-6[/tex]

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

In this problem we have

[tex]\frac{1}{2}y=x-3[/tex]

Solve for y

That means ----> Isolate the variable y

Multiply by 2 both sides

[tex]y=2(x-3)[/tex]

Apply distributive property right side

[tex]y=2x-6[/tex] ----> equation in slope intercept form

the slope is m=2

the y-intercept is b=-6