Formular for straight line y = mx + c [tex] m= \frac{y_1-y_2}{x_1-x_2} \\ m= \frac{1-8}{-2-5} \\ m= \frac{-7}{-7} \\ m=1 [/tex] 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