Find the angle formed by the x axis and line whose equation is 6y-7x=22

Answer 1

To find the angle formed by the x-axis and the line, we need to first identify the slope of the line using its equation in slope-intercept form, y = mx + b, where m is the slope:

6y - 7x = 22
Solving for y, we get:
y = (7/6)x + (22/6)

So the slope of the line is 7/6.

The angle formed by the x-axis and the line is the same as the angle between the positive x-axis and the line. This angle can be found using the inverse tangent function (tan⁻¹) applied to the slope:

θ = tan⁻¹(7/6)

Using a calculator, we get:

θ ≈ 50.96 degrees

Therefore, the angle formed by the x-axis and the line whose equation is 6y-7x=22 is approximately 50.96 degrees.