Find the equation of the straight line which makes angle 30 with positive direction of x axis and cuts intercepts +5 on the y axis .
The equation is:
Since the angle for the line is 30, then :
m= tan30 = 1/sqrt3= sqrt3/3
Since it cuts the y axis at +5 , then the point (0,5) belongs to the line:
==> y-5 = (sqrt3/3)(x-0)
==> y= (sqrt3/3)x + 5
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