Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.
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concept :-
Let, m and n be the gradients/slopes of two perpendicular lines
then, m×n = -1
& equation of line can be written as
y = mx + c , where m = gradient of line and c = y-intercept
Solution:-
Given equation of line is-
3y = 6x + 9
or, y = 2x + 3
gradient of above line (m) = 2
Let n be the gradient of line r
Lines are perpendicular
therefore, m× n = -1
or, n = (-1)/m
or, n= (-1)/2 = -0.5
Hence, Gradient of line r is -1/2.
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