Elliott Murray
11/02/2023 · Primary School
passes through \( (-4,1) \) and \( (-4,15) \)
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Tutor-Verified Answer
Step-by-step Solution
The points \((-4, 1)\) and \((-4, 15)\) both have the same x-coordinate of \(-4\). This indicates that the line passing through these two points is a vertical line.
The equation of a vertical line that passes through a point \((a, b)\) is given by \(x = a\). In this case, since both points have \(x = -4\), the equation of the line is:
\[
x = -4
\]
This line extends vertically and includes all points where \(x\) is \(-4\), regardless of the y-coordinate.
Quick Answer
The line is vertical and its equation is \(x = -4\).
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