Need help with this problem

y = - 3x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (8, - 16) and (x₂, y₂ ) = (1, 5)

m = = = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 5 ) , then

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = - 3x + 8 ← equation of line

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.