Question 93

What is the equation of the line passing through the point (0,4) 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, $$m = 1$$

Line is passing through point (0,4)

Equation of line having slope $$m$$ and passing through $$(x_1,y_1)$$ is : $$(y-y_1) = m(x-x_1)$$

=> $$(y-4) = 1(x-0)$$

=> $$y-4=x$$

=> $$x-y=-4$$

=> Ans - (D)

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What is the equation of the line passing through the point (0,­4) and making an angle of ­45° with the positive x ­axis?