Which of the following is the equation of the line that is perpendicular to line and passes through the point ?
(A)
(B)
(C)
(D)
(E)
Thanks!;);)
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Which of the following is the equation of the line that is perpendicular to line and passes through the point ?
(A)
(B)
(C)
(D)
(E)
Thanks!;);)
First we must find the slope of the line . Thus, we must rewrite the equation to slope-intercept form i.e. where is the slope.
So, the equation can be written as .
The slope of a line which is perpendicular to the previous line is equal to .
Thus, the required equation will be in the form of
Due to the fact the this line passes through the point , we have to plug in the coordinates of this point to the equation and obtaining with this way the value of ,
Finally the equation will be given by the formula
Therefore the correct answer is (D).
Thanks Brynlee!!