Mcdonald Long
07/24/2023 · Junior High School
Find the distance from the point (2, 3) to the line y = 1.
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Step-by-step Solution
To find the distance from the point \((2, 3)\) to the line given by the equation \(y = 1\), we can use the formula for the distance from a point to a horizontal line.
The line \(y = 1\) is a horizontal line where the \(y\)-coordinate is always 1. The distance from a point \((x_0, y_0)\) to a horizontal line \(y = k\) is given by the absolute difference between the \(y\)-coordinate of the point and the constant \(k\):
\[
\text{Distance} = |y_0 - k|
\]
In this case, the point is \((2, 3)\) and the line is \(y = 1\). Here, \(y_0 = 3\) and \(k = 1\).
Now, we can calculate the distance:
\[
\text{Distance} = |3 - 1| = |2| = 2
\]
Thus, the distance from the point \((2, 3)\) to the line \(y = 1\) is \(\boxed{2}\).
Quick Answer
The distance is 2.
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