get the worksheet used in this lesson as well as hundreds of others at mathcation.com this video is about how to find the constant of proportionality you can get the worksheet used in this video for free by clicking on the link in the description below the first part of understanding what is the constant of proportionality is understanding that the constant of proportionality is the ratio between two proportional quantities this is typically shown using the equation y equals k x or k equals y divided by x we're going to focus on the second equation which is k equals y divided by x k in this equation is the constant of proportionality y represents the y values and x represents the x value so we're trying to solve for k because k is the constant of proportionality in order to figure out k you take the y value from the y columns and you divide it by the x value from the x columns so we know our formula is k equals y divided by x so if we look at our first row in this example table we see that the first value of y is 8 so we're going to put 8 in for the y value and then the first value of x is 1 so we put 1 in for the x value then when you simplify this you divide 8 divided by 1 and you get 8. we could use the second row to do a second example so if we had k again we know our formula is k equals y divided by x the second row our y value is 16 so we're going to use 16 divided by our x value which is 2 and then when you simplify 16 divided by 2 you still get 8. now we know that k is 8 and it doesn't matter how many rows you use you will always get 8 for k in this example the constant of proportionality will not change no matter which row that you use we know that the equation for the constant of proportionality is y equals k times x we just found out that k was eight so we're going to take this eight and substitute it in for k so our equation is going to be y equals eight x and that's the solution the important thing to remember is that the constant of proportionality definition is the ratio between the y values and the x values let's do a couple practice problems on our constant of proportionality worksheet so number four on our constant proportionality worksheet gives us a table with x values and a table with y values it's asking us to solve for k which is the constant of proportionality now if you remember the constant proportionality definition states that it's the ratio between the y values being divided by the x values in order to figure out our constant or proportionality we're going to use the equation k equals y divided by x we're going to take our first y value in this case is 12 so we're going to do 12 and we're going to divide it by our first x value which in this case is 2. so we do 12 divided by 2 and we get 6. so we know our constant of proportionality is 6. the equation for a constant of proportionality is y equals k times x we just found out that 6 is k so we'll substitute 6 in for k so now we have y equals 6 x as our equation and we know that is the solution to this table hopefully this video is helpful for helping you answer the question what is the constant of proportionality if you found this video helpful make sure you drop a like subscribe to our channel or check out our website for more premium math content thanks for watching