The question is written in a language different from English language. However, it is understood that it is required to find the value of ‘k’ in the equation of line 2x -3ky-8=0, which is perpendicular to another line whose equation is 4x-8y-7=0.

Written in slope intercept form the equation of 1^st line would be y= (2/3k)x- 8/3k.

Equation of 2^nd line will be y= (1/2)x -7/8

Since the lines are perpendicular, the product of their slopes would be = -1

Accordingly, (2/3k) ( ½)= - 1

Solving this eq would give k= -1/3

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