Question

find the equation of the line making an angle of 60 degree with the positive x-axis and cutting an intercept 3 from the y-axis

Answer 1

y = tan60 x + 3

= √3x +3

Answer 2

$Equation \: of\: a \:line \: whose \: slope \\is \: m \: and \: y - intercept \: c \:is : \\\boxed {\pink { y = mx + c }}$

$Here , Slope (m) = tan \:60 \degree \\\implies m = \sqrt{3}$

$and \: y - intercept (c) = 3$

$Equation \:of \: the \:line \: making \: an\\ angle \: of \:60\degree \:with \:the \: positive \\x-axis \: and \: cutting \:an \: intercept \: 3 \:from \\the \: y - axis \: is \\ \pink { y = \sqrt{3}x + 3 }$

Therefore.,

$\red { Required \: Equation } \green { \:y = \sqrt{3}x + 3}$

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