Please help with this slope equation math problem! Thank you!!

The slope formula is Y= mx + b

This means that the b will be on the y axis (the line going up and down)
You can see that the only point touching the y axis is 6

Now that we know that b is 6 we can find our m (the slope)
From 6 we have to rise over run
Look at the point 6 and rise (go up) until it lines up with the second point on the line
In this case we rise 1

Now we have to run (go either to the left or to the right) until it reaches to the point
In this case we have to run 2 to the left in order to reach the point

We now know that out b is 6, our rise is 1, and our run is 2
We have to remember that is is rise over run so we can make it 1/2
At this point we have all our components to create the equation

The final equation will turn out to be:

Y= 1/2x + 6

Hope that helps!