A line connecting (5, 6) to another point has an undefined slope. What is the closest point on this line with whole number coordinates below (5, 6)?
since the slope is undefined, the line must be vertical.
Clearly the point with integer coordinates just below (5,6) would be (5,5)
A line with a slope of -2 passes through the point (1, 7). What is the closest point on the line above (1, 7) which has whole number coordinates?
If the slope of the line is undefined, then the line is vertical. This means that the line is a vertical line passing through the point (5, 6).
To find the closest point on this line with whole number coordinates below (5, 6), we need to find the closest point to (5, 6) with the same x-coordinate.
Since the line is vertical, any point on this line will have the same x-coordinate of 5 as (5, 6). Therefore, the closest point to (5, 6) with whole number coordinates below (5, 6) would be (5, 5).
So, the closest point on this line with whole number coordinates below (5, 6) is (5, 5).
To find the closest point on the line with whole number coordinates below (5, 6), we first need to determine the equation of the line.
Since the line has an undefined slope, it means that it is a vertical line. A vertical line can be described by the equation x = a, where "a" is the x-coordinate of any point on the line.
In this case, the given point (5, 6) lies on the line. Therefore, the equation of the line is x = 5.
Now, we need to find the closest point on this line with whole number coordinates below (5, 6). Since the line is vertical, the value of y can be any whole number. However, we are looking for a point below (5, 6), so the y-coordinate must be less than 6.
The coordinates of the closest point on the line with whole number coordinates below (5, 6) would be (5, 5), as it is the point directly below (5, 6) on the line.