Answer:
The two intersections would be (3, 10) and (-2, 0)
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and solve for x.
2x + 4 = x^2 + x - 2
2x = x^2 + x - 6
0 = x^2 - x - 6
0 = (x - 3)(x + 2)
Now set the parenthesis equal to zero to get the x values.
x - 3 = 0
x = 3
x + 2 = 0
x = -2
Now we know the x values of each interception. We can find the y values by plugging into either equation.
y = 2x + 4
y = 2(3) + 4
y = 6 + 4
y = 10
y = 2x + 4
y = 2(-2) + 4
y = -4 + 4
y = 0
