Question

2y - 3x = 2
graph and label
​

Answer 1

EXPLANATION.

Equation = 2y - 3x = 2.

Put x = 0 in equation, we get,

⇒ 2y - 3(0) = 2.

⇒ 2y = 2.

⇒ y = 1

Their Co-ordinates are = (0,1).

put y = 0 in equation, we get,

⇒ 2(0) - 3x = 2.

⇒ - 3x = 2.

⇒ x = -2/3.

⇒ x = - 0.6667.

Their Co-ordinates are = (-0.6667,0).

                                                                                                 

MORE INFORMATION.

Area of triangle.

(1) = 1/2 [x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂)].

(2) = Δ = 1/2 [r₁r₂ sin(∅₂ - ∅₁) + r₂r₃ sin(∅₃ - ∅₂) + r₃r₁ sin(∅₁ - ∅₃)].

(3) = Area of Equilateral triangle = ( a²√3/4).

(4) = if area of a triangle is zero, then the points are collinear.

Answer 2

$\large\underline{\red{\sf \green{\bigstar} Correct\; Question}}$

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• 2y - 3x = 2 graph and label it?

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$\large\underline{\blue{\sf \purple{\bigstar} Solution}}$

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• Equation = 2y - 3x = 2.

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$\pink{\sf{\star\;Put\; x\; = \;0\; in \;equation,\; we\; get,}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• ⇒ 2y - 3(0) = 2.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• ⇒ 2y = 2.

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• ⇒ y = 1${\boxed{\pink{\checkmark{}}}}$

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$\orange{\sf{\star\;Their \;Co\;-\;ordinates \;are \;=\; (0,1).,}}$

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$\green{\sf{\star\;put \;y \;= \;0\; in \;equation, \;we\; get,}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• ⇒ 2(0) - 3x = 2.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• ⇒ - 3x = 2.

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• ⇒ x = -2/3.

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⇒ x = - 0.6667.${\boxed{\green{\checkmark{}}}}$

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$\blue{\sf{\star\;Their \;Co\;-\;ordinates \;are\; =\; (-0.6667,0).}}$

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