Answer:
(- 6, 24 ) and (2, - 8 )
Step-by-step explanation:
Given the 2 equations
y = - 4x → (1)
y = x² - 12 → (2)
Substitute y = x² - 12 into (1)
x² - 12 = - 4x ( add 4x to both sides )
x² + 4x - 12 = 0 ← in standard form
(x + 6)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 2 = 0 ⇒ x = 2
Substitute these values into (1) for corresponding values of y
x = - 6 : y = - 4(- 6) = 24 ⇒ (- 6, 24 )
x = 2 : y = - 4(2) = - 8 ⇒ (2, - 8 )
