Slope=-6; passes through (-4,1)

Step-by-step explanation:

m = -6

Equation: y = mx + b

y = -6x +b

(-4 , 1)

Plugin x = -4 and y = 1 in the above equation

1 = -6*(-4) + b

1 = 24 + b

1- 24 = b

b = -23

Equation: y = -6x - 23

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.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square