Question 78

What is the equation of the line whose yintercept is 4 and making an angle of 45° with the positive xaxis?

Solution

Slope of line making an angle $$\theta$$ with positive x-axis = $$tan(\theta)$$

=> Slope of given line, $$m = tan(45) = 1$$ and y-intercept, $$c = 4$$

Equation of line = $$y = mx + c$$

=> $$y = 1(x) + 4$$

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

=> Ans - (D)

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What is the equation of the line whose y­intercept is 4 and making an angle of 45° with the positive x­axis?