What is the equation of a line that is perpendicular to y = 3 x − 2 and passes through the point ( 6 , 8 )

The slope of the given line is 3.  Therefore, the slope of any line perpendicular to y = 3x - 2 is the negative reciprocal of 3, which is m = -1/3.

Starting with the point-slope equation of a straight line, obtain the specific equation applicable here by substituting the givens:  m = -1/3, h = 6 and k = 8):

y - k = m (x - h) becomes y - 8 = (-1/3)(x - 6) (answer).

This could, if you wish, be rewritten in some other format.

4

step-by-step explanation:

im pretty sure it's 4 beacsue 8/2 equals 4

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.