Linear Graphs: Plotting Straight Lines from y = mx + c | 线性图像：从 y = mx + c 绘制直线

📚 Linear Graphs: Plotting Straight Lines from y = mx + c | 线性图像：从 y = mx + c 绘制直线

This guide covers the essential skills needed to understand and plot linear graphs in the Cambridge KS3 Mathematics curriculum. You will learn how to identify gradient and y-intercept, draw straight lines from equations, and use graphs to solve problems.

本指南涵盖 Cambridge KS3 数学课程中理解和绘制线性图像所需的核心技能。你将学习如何识别斜率和 y 轴截距，根据方程绘制直线，以及利用图像解决问题。

1. Coordinates and the Cartesian Plane | 坐标与笛卡尔平面

A Cartesian plane is formed by two perpendicular number lines called the x-axis and the y-axis. The point where they meet is the origin, written as (0, 0). Every point is described by an ordered pair (x, y), where x is the horizontal distance from the origin and y is the vertical distance.

笛卡尔平面由两条互相垂直的数轴组成，分别称为 x 轴和 y 轴。它们的交点称为原点，记作 (0, 0)。每个点用一个有序数对 (x, y) 来描述，其中 x 是到原点的水平距离，y 是垂直距离。

For example, the point (3, -2) means move 3 units to the right along the x-axis and 2 units down along the y-axis. It is important to always write the x-coordinate first.

例如，点 (3, -2) 表示沿 x 轴向右移动 3 个单位，并沿 y 轴向下移动 2 个单位。务必始终先

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