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