Question 1) k = 6
O A x = 6y
O B 6 = yX
O C y = 6x
O D y = 1/6x

If the given equation is

y = 6x

comparing with y = kx

so k = 6

Thus, option C is correct.

Step-by-step explanation:

We know when y varies directly with x, with a constant of variation k

then the equation is

y ∝ x

y = kx

where k is the 'constant of proportionality.

k = y/x

If the given equation is

y = 6x

comparing with y = kx

so k = 6

Thus, option C is correct.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.