Consider the equation y = −6. which statement is true? a) the graph of the equation is a vertical line with a slope of zero. b) the graph of the equation is a horizontal line with a slope of zero. c) the graph of the equation is a vertical line with an undefined slope. d) the graph of the equation is a horizontal line with an undefined slope.

y = 0x - 6     has a slope of 0

If you graph several points for x where y = -6,  (0, -6), (1, -6), (2, -6), etc  you will see that it creates a horizontal line

B

The graph of the equation is a horizontal line with a slope of zero.  (B)

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.

a

b

d

step-by-step explanation: