📉 斜截式方程计算器Slope-Intercept Form Calculator
由两点或一点加斜率求直线的斜截式 y = mx + b，给出斜率、y 截距、x 截距和一般式，分数系数会尽量保持精确。Find the slope-intercept equation y = mx + b from two points or a point and the slope, with the slope, y-intercept, x-intercept and standard form, keeping fractions exact where possible.
使用说明与常见问题How-to & FAQ
「斜截式方程计算器」是什么？What is the Slope-Intercept Form Calculator tool?
由两点或一点加斜率求直线的斜截式 y = mx + b，给出斜率、y 截距、x 截距和一般式，分数系数会尽量保持精确。Find the slope-intercept equation y = mx + b from two points or a point and the slope, with the slope, y-intercept, x-intercept and standard form, keeping fractions exact where possible.
如何使用「斜截式方程计算器」？How do I use the Slope-Intercept Form Calculator tool?
在「斜截式方程计算器」中，填写「已知」、「x₁」、「y₁」、「x₂」、「y₂」等参数，结果会随输入实时计算并显示在下方。In the Slope-Intercept Form Calculator: Fill in "Given", "x₁", "y₁", "x₂", "y₂"; results are recalculated instantly as you type.
y = mx + b 中 m 和 b 是什么？What are m and b?
m 是斜率（x 每增加 1，y 的变化量），b 是 y 截距（直线与 y 轴交点的纵坐标）。m is the slope — how much y changes when x rises by 1 — and b is the y-intercept, where the line crosses the y-axis.
一般式怎么得到？How is the standard form found?
把 y = mx + b 移项为 Ax + By = C，并乘以分母公倍数使 A、B、C 为互质整数且 A ≥ 0；若斜率或截距无法化为分母不超过 10000 的分数，则保留小数系数（仍保证 A ≥ 0）。注意输入的小数如 0.3333333333 并不严格等于 1/3，此时也会保留小数，并提示它接近哪个分数；想得到整数系数，可用两点模式输入。Rearrange y = mx + b into Ax + By = C and scale so A, B and C are coprime integers with A ≥ 0. If the slope or intercept is not a fraction with denominator up to 10,000, decimal coefficients are kept (still with A ≥ 0). A typed decimal such as 0.3333333333 is not exactly 1/3, so it also keeps decimals and the result notes the nearby fraction; enter two points to get integer coefficients.
计算精度如何？How precise are the results?
「斜截式方程计算器」使用 JavaScript 双精度浮点数（约 15–16 位有效数字）；极大或极小的数值可能存在精度误差。The Slope-Intercept Form Calculator uses double-precision floating point (about 15–16 significant digits); very large or very small values may lose precision.
「斜截式方程计算器」免费吗？需要注册吗？Is the Slope-Intercept Form Calculator free? Do I need an account?
「斜截式方程计算器」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The Slope-Intercept Form Calculator is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.