find the equation of the straight line which makes an angle tan inverse (2/3) with x- axis in the positive direction and y intercept cut of by it is 3 Share with your friends Share 1 Varun.Rawat answered this We know that slope m of a line that makes an angle θ with positive x-axis is m = tan θSo, slope of required line, m = tan tan-12/3 = 23Now, it is given that required line passes through 0, 3.Now, equation of a line having slope m and passing through x1,y1 is, y - y1 = mx - x1So, equation of the line having slope 23 and passing through 0, 3 is,y - 3 = 23x - 0⇒y - 3 = 23x⇒3y - 9 = 2x⇒3y - 2x - 9 = 0 6 View Full Answer
