Answer:
[tex]y=\frac{1}{2}x+1[/tex]
The slope is 1/2.
The y-intercept is 1.
Step-by-step explanation:
We have:
[tex]x-2=2(y-3)[/tex]
Let’s divide both sides by 2. This gives us:
[tex]\frac{x}{2}-\frac{4}{2}=y-3[/tex]
Simplify:
[tex]\frac{1}{2}x-2=y-3[/tex]
Add 3 to both sides:
[tex]\frac{1}{2}x+1=y[/tex]
Flip:
[tex]y=\frac{1}{2}x+1[/tex]
This is in the slope-intercept form:
[tex]y=mx+b\\[/tex]
Where m is the slope and b is the y-intercept.
Hence, our slope m is 1/2 and our y-intercept b is 1.