Question 66

What is the equation of the line passing through the point (1,3) and making an angle of -45° with the positive x-axis?

Solution

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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