First, we are going to write this equation in point-slope form, because we have a point and the slope of the line. However, it would be difficult to write this equation in slope-intercept form first, because we do not know the y-intercept of this line.
y = m(x-h)+k
Now, we should substitute in the slope for the variable m and the point (h,k) into the equation.
y = 1/2 (x - 4) + 3
Next, we must simplify by multiplying out the 1/2 through the parentheses.
y = 1/2x - 2 + 3
Finally, we must combine like terms by adding together -2 and 3.
y = 1/2x + 1
Therefore, your final answer is y = 1/2x + 1.
Note: Make sure when you write your answer on the above application that you do not include any spaces in your answer, or you risk your answer being marked wrong.
Hope this helps!