Asked by manpreet
Find the equation of the straight line passing through (3,-2) and making an angle of 60 degree with the positive direction of y-axis
Answers
Answered by
Reiny
The slope of the line is the tan of the angle that the line makes with the x-axis
so if the line makes and angle of 60° with the y-axis , it will make an angle of 30° with the x-axis
so we have tan30° = 1/√3
equation:
y + 2 = (1/√3)(x-3)
√3y + 2√3 = x - 3
x - √3y = 2√3 + 3
change to whatever form of the equation that is needed.
so if the line makes and angle of 60° with the y-axis , it will make an angle of 30° with the x-axis
so we have tan30° = 1/√3
equation:
y + 2 = (1/√3)(x-3)
√3y + 2√3 = x - 3
x - √3y = 2√3 + 3
change to whatever form of the equation that is needed.
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