Find the equation of a line which makes an angle of $$tan^{ – 1} (3)$$ with the x–axis and cuts off an intercept of 4 units on the negative direction of y–axis.

Asked by Aaryan | 1 year ago |  69

##### Solution :-

Given:

The equation which makes an angle of tan–1(3) with the x–axis and cuts off an intercept of 4 units on the negative direction of y–axis

By using the formula,

The equation of the line is y = mx + c

Here, angle θ = tan–1(3)

So, tan θ = 3

The slope of the line is, m = 3

And, Intercept in the negative direction of y–axis is (0, -4)

The required equation of the line is y = mx + c

Now, substitute the values, we get

y = 3x – 4

The equation of the line is y = 3x – 4.

Answered by Aaryan | 1 year ago

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