Find the equation for the line that passes through the point (3,-2), and that is perpendicular to the line with the equation x = 2.
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Step-by-step explanation:
x = 2 is, as you can see, parallel to the y-axis.
perpendicular to this (= crosses the original line in an angle of 90 degrees) is then a line parallel to the x-axis.
that means y is constant. all points on that line will have the same y value.
and we know one point already : (3, -2)
so all points of the perpendicular line will have y = -2
and that is the equation of the perpendicular line :
y = -2