check-if-it-is-a-straight-line

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Algorithms

You are given an array&nbsp;<code>coordinates</code>, <code>coordinates[i] = [x, y]</code>, where <code>[x, y]</code> represents the coordinate of a point. Check if these points&nbsp;make a straight line in the XY plane.

&nbsp;

&nbsp;
Example 1:

<img alt="" src="https://assets.leetcode.com/uploads/2019/10/15/untitled-diagram-2.jpg" style="width: 336px; height: 336px;" />

<pre>
Input: coordinates = [[1,2],[2,3],[3,4],[4,5],[5,6],[6,7]]
Output: true
</pre>

Example 2:

<img alt="" src="https://assets.leetcode.com/uploads/2019/10/09/untitled-diagram-1.jpg" style="width: 348px; height: 336px;" />

<pre>
Input: coordinates = [[1,1],[2,2],[3,4],[4,5],[5,6],[7,7]]
Output: false
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>2 &lt;=&nbsp;coordinates.length &lt;= 1000</code></li>
	<li><code>coordinates[i].length == 2</code></li>
	<li><code>-10^4 &lt;=&nbsp;coordinates[i][0],&nbsp;coordinates[i][1] &lt;= 10^4</code></li>
	<li><code>coordinates</code>&nbsp;contains no duplicate point.</li>
</ul>

checkStraightLine

Check If It Is a Straight Line

Geometry

Array

Math

给定一个数组&nbsp;<code>coordinates</code>&nbsp;，其中&nbsp;<code>coordinates[i] = [x, y]</code>&nbsp;，<meta charset="UTF-8" />&nbsp;<code>[x, y]</code>&nbsp;表示横坐标为 <code>x</code>、纵坐标为 <code>y</code>&nbsp;的点。请你来判断，这些点是否在该坐标系中属于同一条直线上。

&nbsp;

示例 1：

<img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/10/19/untitled-diagram-2.jpg" />

<pre>
输入：coordinates = [[1,2],[2,3],[3,4],[4,5],[5,6],[6,7]]
输出：true
</pre>

示例 2：

<img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2019/10/19/untitled-diagram-1.jpg" />

<pre>
输入：coordinates = [[1,1],[2,2],[3,4],[4,5],[5,6],[7,7]]
输出：false
</pre>

&nbsp;

提示：

<ul>
	<li><code>2 &lt;=&nbsp;coordinates.length &lt;= 1000</code></li>
	<li><code>coordinates[i].length == 2</code></li>
	<li><code>-10^4 &lt;=&nbsp;coordinates[i][0],&nbsp;coordinates[i][1] &lt;= 10^4</code></li>
	<li><code>coordinates</code>&nbsp;中不含重复的点</li>
</ul>