Question 87
What is the equation of the line whose y- intercept is -3 and makes an angle of 45° with the positive x-axis?
Solution
Slope of line making an angle of 45° with the positive x-axis = $$tan (45$$°$$) = tan (45$$°$$) = 1$$
Equation of line having y-intercept = $$c$$ and making slope $$m$$ is $$y = mx + c$$
Here $$c = -3$$ and $$m = 1$$
=> $$y = (1 \times x) + (-3)$$
=> $$x - y = 3$$
=> Ans - (C)
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