Final answer:
To find the angle formed by the line y=2x-1 and the x-axis, you can use the equation y=mx+b, where m is the slope. The slope of the line is 2, so you can find the angle θ using the inverse tangent function. The angle is approximately 63.43°.
Step-by-step explanation:
To find the angle formed by the line y=2x-1 and the x-axis, we need to find the slope of the line. The slope of a line is given by the coefficient of x in the equation. In this case, the coefficient of x is 2.
Since the line is in the form y=mx+b, where m is the slope, we know that the line makes an angle θ with the x-axis, where tan(θ) = m. So, tan(θ) = 2.
Using the inverse tangent function, we can find the angle θ = tan^(-1)(2). Evaluating this angle using a calculator, we get θ ≈ 63.43°.