Question

Here you go the brainless

Answer 1

Formular for straight line
y = mx + c

`m= (y_1-y_2)/(x_1-x_2) \\ m= (1-8)/(-2-5) \\ m= (-7)/(-7) \\ m=1`
1 = 1(-2) + c
1 = -2 + c
c = 3
y = x + 3

Checking:

y = x + 3
When x = -2
y = -2 + 3
y = 1
Coordinates is (-2, 1)

When x = 5
y = 5 + 3
y = 8
Coordinates is (5, 8)

Both coordinates matches the question
∴ Answer is correct