what angle does the line y=6/7x make on the xy plane with a positive x axis?
To find the angle that the line y = 6/7x makes with the positive x-axis, you need to determine the slope of the line. The slope, represented by m, is the coefficient of x in the equation y = mx + b, where b is the y-intercept (in this case, b = 0).
In the given equation, y = 6/7x, the coefficient of x is 6/7, so the slope of the line is 6/7. The slope represents the tangent of the angle between the line and the x-axis. To find the angle, you can use the arctangent function (tan^(-1)).
Therefore, the angle θ can be calculated as follows:
θ = tan^(-1)(6/7)
Using a calculator or software with trigonometric functions, evaluate tan^(-1)(6/7). The result will give you the angle in radians or degrees, depending on the calculator's settings.