Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
2 answers:
Answer:
Step-by-step explanation:
the line
is a horizontal line on the -2 of the y-axis (for any x value, the y value is always -2).
Thus since is a horizontal line, a perpendicular line to a horizontal line has to be a vertical line.
Now, we want this vertical to pass through the point:
.
This means that the only option we have is the line:
because this is the equation of a vertical line sitting on the x = 4.
This can be better visualized in the attached image. where the red line is and the dotted blue line is
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