Answer is y= 1/2x + 3
Step by step
We know slope intercept form is
y =mx + b
m = slope
b = y intercept
We find slope on the graph by creating a slope triangle as shown on the attachment.
We find rise 3 and run 6, slope is rise over run so 3/6 simplified to 1/2
We find the y intercept is at 3 on the y axis
So y = 1/2x + 3 is your answer