Question
Download Solution PDFFind the equation of the line which makes an angle of 30° with the positive direction of the x-axis and cuts off an intercept of 4 units with the negative direction of the y - axis ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
The equation of a line whose slope is m and which makes an intercept c on the Y-axis is given by: y = mx + c
CALCULATION:
Here, we have to find the equation of the line which makes an angle of 30° with the positive direction of the x-axis and cuts off an intercept of 4 units with the negative direction of the y - axis
As we know that, equation of a line whose slope is m and which makes an intercept c on the Y-axis is given by: y = mx + c
Here, we have c = - 4 and \(m = tan \ 30 = \frac{1}{\sqrt 3} \)
So, the equation of the required line is: \(y = \frac{1}{\sqrt 3} \times x - 4\)
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