# Writing an equation given 2 points

Line will draw a rough approximation.

### Finding the equation of a line given two points

In the first year, there were 35 participants. Based on your equation, how many participants are predicted for the fifth year? So m, or the slope is the change in y over the change in x. Remember a point is two numbers that are related in some way. We can first try to solve for m. 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. Write the equation using the slope and y-intercept.

Remember a point is two numbers that are related in some way. And we can write these as mixed numbers. You can see here the slope is downward because the slope is negative.

This is the same exact thing as change in y and that over the x value of your ending point minus the x-value of your starting point This is the exact same thing as change in x.

That's 0 coma 13 over 3 or 0 coma 4 and 1 thirds. So our change in y, to go we started at y is equal to six, we started at y is equal to 6.

Step 1: Identify your two points. So we now know our equation will be y is equal to negative 5 thirds, that's our slope, x plus b. And then of course, these cancel out.

So, hopefully, you found that entertaining. So we still need to solve for y-intercept to get our equation.

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