How do you know if a slope is 2 TO1 OR 1 TO 1?

Answer 1

You can the determine ratio of any slope if you know the angle of the slope form the base line and the length of the line or object whose slope you are trying to determine.

For a 1 to 1 slope (1:1) on an X-Y grid, the angle from baseline will be 45o

For every one unit in the X direction (horizontal), move one unit in the Y direction (vertical). This is 1:1 and yields a slope of 45o

For a 2 to 1 slope (2:1), the angle from baseline will be 22.5o

For every two units in the X direction, move one unit in the Y direction. This is 2:1. You should also notice that the angle from baseline of 2:1 is 1/2 the angle from baseline of 1:1.

The sloping line or object can also be thought of as the hypotenuse of a right triangle. Where in the examples above X would equal one leg of the triangle and Y would equal another, the slope of the hypotenuse would be X:Y.