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Answer: Y = 3/8

Step-by-step explanation:

You can either use the rise/run method or subtract 2 points from the line to get the slope. You can do the rise/run method by starting at a point that is on the corner of the square and keep counting how many spaces you have to go until you get to the next even point. This number will be on the bottom, then count up until you get to that even point,this amount of spaces this takes will be on top. Since there are only 2 visible points on this graph,I will use the other method. You can use either the y1-y2/x1-x2 formula or do this

8,3

0,0

8,3  
Remember,the y goes on top! Our slope is 3/8,also since the y intercept is the orgin/0,0 we don't need to add it at the end. I hope this helps and wasn't too complicated!

y =  3/8(x) is the equation that represents the proportional relationship in this graph, for y in terms of x.

In mathematics, two sequences of numbers, frequently experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, known as the coefficient of proportionality or proportionality constant.

If corresponding elements in two sequences have a constant product—also known as the coefficient of proportionality—then the two sequences are inversely proportional.

This definition is frequently broadened to include associated varying amounts, also known as variables.

We can see that when y = 1.5, then x = 4

And when y = 3, x = 8

Putting the value in slope form

y - y1 = m(x - x1)

3 - 1.5 = m(8 - 4)

1.5 = m(4)

m = 1.5/4

m = 3/8

Now simply we put the value in y-intercept form

y - 3 = 3/8(x - 8)

y = 3/8(x) - 3 + 3

y =  3/8(x)

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