Hello, I'm a subject matter expert in mathematics, and I'd be happy to explain what a Y-intercept is.
In the context of a linear equation, the
Y-intercept is the point where the line crosses the Y-axis on a graph. It's the value of Y when X is equal to zero. In the standard form of a linear equation, which is Y = MX + B, the Y-intercept is represented by the constant B. This point can be read directly from the equation as (0, B), where B is the Y-coordinate of the point where the line intersects the Y-axis.
For example, if you have the equation Y = 2X + 3, the Y-intercept would be at the point (0, 3) because when X is 0, Y equals 3.
Now, let's translate that into Chinese:
你好,我是数学领域的专家,我很高兴能解释什么是Y截距。
在线性方程的背景下,
Y截距是直线在图上穿过Y轴的点。它是当X等于零时Y的值。在线性方程的标准形式中,即Y = MX + B,Y截距由常数B表示。这个点可以直接从方程中读出,即(0, B),其中B是直线与Y轴相交点的Y坐标。
例如,如果你有方程Y = 2X + 3,Y截距将在点(0, 3),因为当X为0时,Y等于3。
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