Please, someone help me with this task, I am stuck

the equation is y = -5x/6 - 2

Step-by-step explanation:

x1 = -6

y1 = 3

x2 = 6

y2 = -7

now

m(slope) = rise/run = (y2-y1)/(x2-x1)

   = (-7-3)/(6-(-6))

  =  -10/12

   = -5/6

now

y = mx+ b

-7 = m*6 + b

or, -7 = -5/6*6 + b

or, -7 = -5 + b

so, b = -2

now

y = mx +b

y = -5/6*x + (-2)

y = -5x/6 - 2

y = -5/6 × x - 2 = -5x/6 - 2

Step-by-step explanation:

we have two marked points with seemingly integer coordinates for x and y.

the equation of a line is

y = a×x + b

now, we only need to put the x and y values pairs into this equation and calculate a and b.

P1 = (-6, 3)

P2 = (6, -7)

based on what I can see on the picture.

starting with P1

3 = a×-6 +b

b = 3 + a×6

then with P2

-7 = a×6 + b = a×6 + 3 + a×6 = a×12 + 3

-10 = a×12

a = -10/12 = -5/6

=>

b = 3 + a×6 = 3 + -5/6 × 6 = 3 - 5 = -2

so, the line equation is

y = -5/6 × x - 2 = -5x/6 - 2