For a particular event, 889 tickets were sold for a total of $2221. If students paid $2 per ticket and nonstudents paid $3 per ticket, how many student tickets were sold?

Step-by-step explanation:

1. The slope-intercept form of a linear equation is written as , where y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept.

2. To solve for the slope, let's take the two points (0,0) and (2,7) and plug their values into this formula:

3. Our slope is 7/2, so the equation looks like this so far:

4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0).

5. Now, when we plug in the values of the slope and y-intersect, we get: .

Therefore, the equation is