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    				| 1. | Find the equation of a line which makes an angle of tan–1 (3) with the x–axis and cuts off an intercept of 4 units on the negative direction of y–axis. | 
| Answer» Given: The equation which makes an angle of tan–1(3) with the x–axis and cuts off an intercept of 4 units on the negative direction of y–axis. To Find: The equation of the line? The formula used: The equation of the line is y = mx + c Explanation: Here, angle θ = tan–1(3) So, tan θ = 3 The slope of the line is, m = 3 And, Intercept in the negative direction of y–axis is (0, -4) Now, The required equation of the line is y = mx + c y = 3x – 4 Hence, The equation of the line is y = 3x – 4. | |