Final answer:
The angle formed between the given line and the x-axis is 45°.
Step-by-step explanation:
To calculate the angle formed between a line and the x-axis, we can use the slope of the line.
In the given equation, x - y³ = -3, we can rewrite it in slope-intercept form, which is y = mx + b
where
m is the slope
b is the y-intercept.
Rearranging the equation, we get y = x + 3. Since the coefficient of x is 1, the slope of the line is 1.
Now, we know that the angle formed between a line and the x-axis is equal to the arctangent of the slope.
Therefore, the angle formed between the given line and the x-axis is arctan(1) = 45°.
In summary, the angle formed between the given line and the x-axis is 45°.