1. What is the equation of the line passing through the point (2,-3) and making an angle of -45°with the positive X-axis?
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By: anil on 05 May 2019 02.17 am
Slope of line making an angle of -45° with the positive x-axis = $$tan (-45$$°$$) = -tan (45$$°$$) = -1$$ Equation of line passing through $$(x_1,y_1)$$ and making slope $$m$$ is $$(y - y_1) = m (x - x_1)$$ Equation of line passing through (2,-3) and slope = -1 => $$(y + 3) = -1(x - 2)$$ => $$y + 3 = -x + 2$$ => $$x + y = 2 - 3 = -1$$
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