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

Answer: 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
Answer:
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