Find the equation of the lines through the point (3, 2) which make an angle of 45° with the line x –2y = 3.

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Let the slope of the required line be m1. The given line can be written as , which is of the form y = mx + c ∴Slope of the given line = It is given that the angle between the required line and line x – 2y = 3 is 45°. We know that if θisthe acute angle between lines l1 and l2 with...
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Let the slope of the required line be m1. The given line can be written as , which is of the form y = mx + c ∴Slope of the given line = It is given that the angle between the required line and line x – 2y = 3 is 45°. We know that if θisthe acute angle between lines l1 and l2 with slopes m1 and m2 respectively, then. Case I: m1 = 3 The equation of the line passing through (3, 2) and having a slope of 3 is: y – 2 = 3 (x – 3) y – 2 = 3x – 9 3x – y = 7 Case II: m1 = The equation of the line passing through (3, 2) and having a slope of is: Thus, the equations of the lines are 3x – y = 7 and x + 3y = 9. read less
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