Let's start with your problem:
Write an equation in slope intercept form for a line where m = 1/2 and it contains the point (2 ,3)
Step 1: Plug in what you know into the slope intercept equation ( y = mx + b)
y = (1/2)x + b
Step 2: We need to find b. To do this, plug in your point (2,3) for the x and y in the equation (x=2 and y=3).
3 = (1/2)(2) + b
Step 3: Simplify and solve for b.
3 = 1 + b -> b = 2
Step 4: Now that we know m and b, we can write our equation.
y = (1/2)x + 1