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secondary 3 | A Maths

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Pls helo me find the coordinates of B and D asap thx

y = - ⅓ ∙ x - ¹⁷⁄₃

AD line

y = 3 ∙ x + 1

- ⅓ ∙ x - ¹⁷⁄₃ = 3 ∙ x + 1

point A(-2 , -5)

-x-17 = 9x+3

x = -2

y = -5

CD line

y = - ⅓ ∙ x - d

BC line

y = 3 ∙ x + b

3 = - ⅓ ∙ 4 - d

9 = -4 - 3d

d = -¹³⁄₃

3 = 3 ∙ 4 + b

b = -9

CD line

y = - ⅓ ∙ x + ¹³⁄₃

BC line

y = 3 ∙ x - 9

B (1 , -6) → BC line ~ AB line

y = 3 ∙ x - 9

y = - ⅓ ∙ x - ¹⁷⁄₃

- ⅓ ∙ x - ¹⁷⁄₃ = 3 ∙ x - 9

-x-17 = 9x - 27

x = 1

y = -6

D (1 , 4) → CD line ~ AD line

y = 3 ∙ x + 1

y = - ⅓ ∙ x + ¹³⁄₃

- ⅓ ∙ x + ¹³⁄₃ = 3 ∙ x + 1

-x+13 = 9x+3

x = 1

y = 4

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