Which equation describes a line that passes through (6 - 8) and is perpendicular to the line described by 4x - 2y = 6?
A. y= -1/2x-5
B. y=2x-3
C. y = 2x - 20
D. y= -1/2x-3

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

table 3 represents a direct variation function. : )