The general slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Let's find the slope first. Remember that the slope given by two points is \(\frac{y_2 - y_1}{x_2 - x_1}\). So, using the two given points,
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
\(m = \frac{18.75 - 17.60}{2002 - 2001}\)
\(m = 1.15\)
Now, we know that \(y = 1.15 x + b\). To find \(b\), let's just plug in the x and y coordinates for one of the points and solve for b:
\(17.60 = 1.15(2001) + b\)
\(17.60 = 2301.15 + b\)
\(b = -2283.55\)
Thus, the equation of the line in slope-intercept form is
\(\bf y = 1.15x - 2283.55\)
