We are told that a boat is traveling parallel to the shoreline and also passes through the point ( 9, 3). From the example we know that the slope of the shoreline is m= - 23. Since the boat is traveling parallel to the shoreline, the path of the boat is a line with the same slope. When we are given a point on a line and the slope of the line, we can write a linear equation in the point-slope form.
y- y_1 = m(x- x_1)
In this case, we know that the line passes through the point ( 9, 3) and has the slope of the line is m= - 23. We can substitute these values into the point-slope form to solve for the linear equation that represents the path of the boat. Let's do it!
