Can anyone explain to me how to work through this problem I'm stuck!
A ship is in distress at the point shown on the graph below. Each unit on the grid represents 1 mile. The navigator knows that the shortest distance from a point to a line is on a
perpendicular to the line. So, the navigator directs the captain to head the ship
on a perpendicular course toward the shoreline (shown as the shaded region in the upper right corner of the graph).
If the ship succeeds in staying on course, where will it hit land?
Explain your method and show your process.

Looking at the shoreline, I see the slope is -1/2. To find this slope, pick two easy to read points on the line. For example, use points (4,6) and (6, 5). Slope = rise/run. To go from (4, 6) to (6, 5), go down 1 unit (a rise of -1) and got right 2 units (a run of 2). Then slope = rise/run = -1/2.

The slopes of perpendicular lines are negative reciprocals, so slope of the path of the ship must be the negative reciprocal of -1/2, which is 2. A slope of 2 is the same as a slope of 2/1, or for a rise of 2, you have a run of 1. Now start at the ship's position, (0, 3), and go 2 units up and 1 to the right. You are now at (1, 5). GO again 2 units up and 1 unit right. You are now at (2, 7).

Answer: (2, 7)