KnowledgeBoat Logo

Mathematics

Find the equation of a line which passes through (5, 4) and makes an angle of 60° with the positive direction of the x-axis.

Straight Line Eq

8 Likes

Answer

m = tan θ = tan 60° = 3\sqrt{3}

By point-slope form,

Equation of line : y - y1 = m(x - x1)

Substituting values we get,

⇒ y - 4 = 3(x5)\sqrt{3}(x - 5)

⇒ y - 4 = 3x53\sqrt{3}x - 5\sqrt{3}

⇒ y = 3x+453\sqrt{3}x + 4 - 5\sqrt{3}.

Hence, equation of line is y = 3x+453\sqrt{3}x + 4 - 5\sqrt{3}.

Answered By

7 Likes


Related Questions