# Write an equation for the given points

We can first try to solve for m.

### Find the coordinates of two points on the line with the given equation

Or, we can view it as the y value of our end point minus the y value of our starting point over the x-value of our end point minus the x-value of our starting point. So it is 6. Based on your equation, how many participants are predicted for the fifth year? You can see here the slope is downward because the slope is negative. So it takes us one to go to zero and then five more. And this is just 13 over 3. So, hopefully, you found that entertaining. So are change in x is 6. I can draw a straighter than that. So good place to start is we can find its slope. And the other point is 5, And then of course, these cancel out. And you don't have to draw it to do this problem but it always help to visualize That is my y axis. Let's quickly review the steps for writing an equation given two points: 1. And all it does is tell us the change in y you go from this point to that point We have to go down, our rise is negative we have to go down

Therefore, our two points are 1,35 and 3,57 Let's enter this information into our chart. That's where the negative 10 comes from. And we go down 4, So 1, 2, 3, 4 So it's right over there.

This right here is y2, our ending y and this is our beginning y This is y1. And we go down all the way to y is equal to negative 4 So this is rigth here, that is our change in y You can look at the graph and say, oh, if I start at 6 and I go to negative 4 I went down In the first year, there were 35 participants.

This can be written as 1,35 In the third year, there were 57 participants. So 6 minus 5 over 3 is the same thing as 6 is the same thing as 18 over 3 minus 5 over 3 6 is 18 over 3. And the first point is -1,6 So -1, 6. Now you will have to read through the problem and determine which information gives you two points. And now we can subtract 5 thirds from both sides of this equation. Step 1: Identify your two points.

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