Algorithm

Problem Name: 1232. Check If It Is a Straight Line

You are given an array `coordinates`, `coordinates[i] = [x, y]`, where `[x, y]` represents the coordinate of a point. Check if these points make a straight line in the XY plane.

Example 1:

```Input: coordinates = [[1,2],[2,3],[3,4],[4,5],[5,6],[6,7]]
Output: true
```

Example 2:

```Input: coordinates = [[1,1],[2,2],[3,4],[4,5],[5,6],[7,7]]
Output: false
```

Constraints:

• `2 <= coordinates.length <= 1000`
• `coordinates[i].length == 2`
• `-10^4 <= coordinates[i][0], coordinates[i][1] <= 10^4`
• `coordinates` contains no duplicate point.

Code Examples

#1 Code Example with Java Programming

```Code - Java Programming```

``````
class Solution {
public boolean checkStraightLine(int[][] coordinates) {
int xOne = coordinates[1][0];
int yOne = coordinates[1][1];
int dx = xOne - coordinates[0][0];
int dy = yOne - coordinates[0][1];
for (int[] coordinate : coordinates) {
int x = coordinate[0];
int y = coordinate[1];
if (dx * (y - yOne) != dy * (x - xOne)) {
return false;
}
}
return true;
}
}
``````
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Input

cmd
coordinates = [[1,2],[2,3],[3,4],[4,5],[5,6],[6,7]]

Output

cmd
true

#2 Code Example with Javascript Programming

```Code - Javascript Programming```

``````
const checkStraightLine = function(coordinates) {
const r = ratio(coordinates[0], coordinates[1])
for(let i = 1, len = coordinates.length;  i  <  len - 1;  i++) {
if(ratio(coordinates[i], coordinates[i + 1]) !== r) return false
}

return true
};

function ratio(a, b) {
return (b[1] - a[1]) / (b[0] - a[0])
}
``````
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Input

cmd
coordinates = [[1,2],[2,3],[3,4],[4,5],[5,6],[6,7]]

Output

cmd
true

#3 Code Example with Python Programming

```Code - Python Programming```

``````
class Solution:
def checkStraightLine(self, c: List[List[int]]) -> bool:
return len(set(a[0] == b[0] or (b[1] - a[1]) / (b[0] - a[0]) for a, b in zip(c, c[1:]))) == 1
``````
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Input

cmd
coordinates = [[1,1],[2,2],[3,4],[4,5],[5,6],[7,7]]

Output

cmd
false

#4 Code Example with C# Programming

```Code - C# Programming```

``````
namespace LeetCode
{
public class _1232_CheckIfItIsAStraightLine
{
public bool CheckStraightLine(int[][] coordinates)
{
int dY = coordinates[1][1] - coordinates[0][1];
int dX = coordinates[1][0] - coordinates[0][0];
for (int i = 2; i  <  coordinates.Length; i++)
{
if (dX * (coordinates[i][1] - coordinates[0][1]) != dY * (coordinates[i][0] - coordinates[0][0]))
return false;
}
return true;
}
}
}
``````
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Input

cmd
coordinates = [[1,1],[2,2],[3,4],[4,5],[5,6],[7,7]]

Output

cmd
false