slope = change_in_y / change_in_x
→ change_in_y = slope × change_in_x
The first point with a whole number for the x-coordinate above (2, 1) will have an x-coordinate of 3 = 2 + 1
→ change_in_x = 1
→ change_in_y = 3×1 = 3
→ new y = 1 + 3 = 4
→ The first point above (2, 1) with whole number coordinates on the given line is (3, 4).
ertgrt
There is no general answer to this question. If the line slope is undefined, it can be zero, corresponding to a horizontal line, and in that instance no other point on the line has both whole number coordinates lower than 5 6 because every point on the line has 6 as its second coordinate. If the slope is undefined because the line is vertical, every point on the line will have a first coordinate of 5. Furthermore, it is possible in principle to draw a line with a slope equal to some irrational number through the point 5 6 that never has integers for both coordinates at any other point.
7 is the closest whole number to 7.03.
3.5 is itself a number and so it is the closest number. You cannot get closer to a number than the number itself!
Numbers are infinitely dense so there can be no "closest". Given any number that claims to be the closest it is always possible to find a number that is closer.
ertgrt
So that when discussing a number of points, the coordinates of each point can be clearly distinguished from one another.
Polar coordinates are another way to write down a location on a two dimensional plane. The first number in a pair of coordinates is the distance one has to travel. The second number in the pair is the angle from the origin.
There is no general answer to this question. If the line slope is undefined, it can be zero, corresponding to a horizontal line, and in that instance no other point on the line has both whole number coordinates lower than 5 6 because every point on the line has 6 as its second coordinate. If the slope is undefined because the line is vertical, every point on the line will have a first coordinate of 5. Furthermore, it is possible in principle to draw a line with a slope equal to some irrational number through the point 5 6 that never has integers for both coordinates at any other point.
You're describing any point on Spain's sea-coast. There are an infinite number of them, and each point has different coordinates.
The irrational number closest to 6 is the square root of 36, which equals 6. This is because the square root of 36 is a rational number that is the closest approximation to 6 among irrational numbers. The square root of 36 is equal to 6, making it the irrational number closest to 6.
3.2 is the number that is closest to it. You could not get any closer!
10.025 is the closest number. You could not get any closer!
7 is the closest whole number to 7.03.
The number pi, approximated by 3.1416 is closest to the whole number 3.
3.5 is itself a number and so it is the closest number. You cannot get closer to a number than the number itself!
Numbers are infinitely dense so there can be no "closest". Given any number that claims to be the closest it is always possible to find a number that is closer.