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Find the equation of the straight line passing through ( – 2, 3) and indicated at an angle of 45° with the x – axis. |
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Answer» A line which is passing through ( – 2,3), the angle is 45° . To Find: The equation of a straight line. Formula used: The equation of line is [y – y1 = m(x – x1)] Explanation: Here, angle, θ = 45° SO, The slope of the line, m = tan θ m = tan 45° m = 1 The line passing through (x1,y1) = ( – 2,3) The required equation of line is y – y1 = m(x – x1) y – 3 = 1(x – ( – 2)) y – 3 = x + 2 x – y + 5 = 0 Hence, The equation of line is x – y + 5 = 0 |
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