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Question: Given the line y = - 6x + 7, write an equation of the line perpendicular to the given line with y-intercept 5.


A ) y = - 16x + 5
B ) y = 16x + 5
C ) y = 15x + 6
D ) y = 16x - 5

Steps to derive

1 y = - 6x + 7
 [Line equation.]

2 The equation of the line perpendicular to y = - 6x + 7 is y = 16 x + c.
 [Product of slopes of the perpendicular lines is -1.]

3 If the y-intercept of the above line is 5, then c = 5.

4 So, the equation of the line perpendicular to y = - 6x + 7 is y = 16x + 5.



Hence the right answer is Option B

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