If you mean: x+2y = 8
Then: y = -1/2x+4
Perpendicular equation: y = 2x+4
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-2y=x+8 is the answer
y=(1/3)x+5
-6
-x+2y=8 Rewrite 2y-x=8 Add x to both sides 2y=x+8 Divide both sides by 2 y=0.5x+4 As can be seen by writing the equation in slope intercept,the y intercept is 4 Going back to the 2y=x+8,substituting 0 for y gives 0=x+8.The x intercept is -8.
2y = -6x + 8 is the given line Hence y = -3x + 4 the reduced given line. The gradianet of this line is '-3' ; the coefficient of 'x'. Using the eq'n ' mm'= -1 ' ,where 'm' & 'm'' are the given gradients. Hence substituting -3m' = -1 m' = -1/-3 = 1/3 The perpendicular gradient. Hence perpendicular line is y = (1/3)x + 5 or 3y = x + 15