Find the coordinates of d if e (-6,4) Is the midpoint of df and f has coordinates (-5,-3)

Step-by-step explanation:

Let the coordinates of d be (x,y)

The midpoint of (x,y) and (-5,-3) is equal to ((-5+x)/2, (-3+y)/2)

this should be equal to the coordinates of e, (-6,4)

we have (-5/2+x/2, -3/2+y/2)

-5/2+x/2 = -6

-5 + x = -12

x = -7

-3/2+y/2 = 4

-3+y = 8

y = 11

Therefore the coordinates of d are (-7,11)

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.

i think the correct option is the second option.