Pierce Frank
01/20/2023 · Senior High School
31 point Find the equation of the line that passes through the points \( (-1,3) \) and \( (3,3) \).
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Step-by-step Solution
To find the equation of the line that passes through the points \((-1, 3)\) and \((3, 3)\), we first observe the \(y\)-coordinates of both points. Since both points have the same \(y\)-coordinate (3), this indicates that the line is horizontal.
The general equation of a horizontal line is given by:
\[
y = c
\]
where \(c\) is the constant \(y\)-value for all points on the line. In this case, since both points have a \(y\)-coordinate of 3, the equation of the line is:
\[
y = 3
\]
Thus, the equation of the line that passes through the points \((-1, 3)\) and \((3, 3)\) is:
\[
\boxed{y = 3}
\]
Quick Answer
The equation of the line is \( y = 3 \).
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