Final answer:
To solve the equation y-2=(1)/(2)(x+3), distribute the (1)/(2) to both terms inside the parentheses and simplify. Then, isolate y by adding 2 to both sides. The solution to the equation is y=(1)/(2)x+(7)/(2).
Step-by-step explanation:
To solve the equation y-2=(1)/(2)(x+3), we can start by distributing the (1)/(2) to both terms inside the parentheses:
y-2=(1)/(2)x+(1)/(2)3
Now, simplify the right side of the equation:
y-2=(1)/(2)x+(1)/(2)3
y-2=(1)/(2)x+(3)/(2)
To isolate y, we can add 2 to both sides of the equation:
y-2+2=(1)/(2)x+(3)/(2)+2
y=(1)/(2)x+(3)/(2)+2
Simplifying further:
y=(1)/(2)x+(7)/(2)
Therefore, the solution to the equation is y=(1)/(2)x+(7)/(2).