Rewrite the equation by completing the square. 4 x^{2} +8 x +3 = 0

(x+1)^2 = 1/4
Step-by-step explanation:
4x ^ 2 + 8x + 3 = 0
Subtract 3 from each side
4x ^ 2 + 8x + 3-3 = 0-3
4x ^ 2 + 8x = -3
Divide each side by 4
x^2 +2x = -3/4
Take the coefficient of x
2
divide by 2
2/2 =1
Then square it
1^2 =1
Add this to each side
x^2 +2x = -3/4
x^2+2x+1 = -3/4+1
(x+1)^2 = 1/4

The slope of the function is 0.5.