What is the equation of the line passing through the point (1,3) and making an angle of -45° with the positive x-axis?
Slope of line making an angle of -45° with the positive x-axis = $$tan(-45$$°$$)$$
=> Slope, $$m = -tan(45)=-1$$
Line is passing through point (1,3)
Equation of line having slope $$m$$ and passing through $$(x_1,y_1)$$ is : $$(y-y_1) = m(x-x_1)$$
=> $$(y-3) = -1(x-1)$$
=> $$y-3=-x+1$$
=> $$x+y=4$$
=> Ans - (A)
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