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The equation of the line through point (-5, 0) and parallel to the y-axis is
Solution:
Given, the point is (-5, 0)
We have to find the equation of the line passing through the given point and parallel to the y-axis.
The equation of the line passing through a point is given by \((y-y_{1})=m(x-x_{1})\)
Where, m is the slope
Since, the slope is undefined.
Any line parallel to y-axis has undefined slope and the line is in the form x = k.
k is the x-coordinate of the point through which the line is passing.
From the given point,
x-coordinate = -5
The equation is x = -5
Therefore, the equation of the line is x + 5 = 0.
The equation of the line through point (-5, 0) and parallel to the y-axis is
Summary:
The equation of the line through point (-5, 0) and parallel to the y-axis is x + 5 = 0.
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