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2 years ago

HELPPP FOR BRAINLEST PLEASE

Mathematics

1 answer:

lubasha [3.4K]2 years ago

3 0

Answer:

y = -5x + 6

Step-by-step explanation:

To find the slope of a line you have to use the following formula:

y2 - y1 / x2 - x1

choose any 2 rows for "x" and "y" (it doesn't matter), but "x" and "y" have to come from the same row. (I'll do the third and fourth rows)

x1 = 1

y1 = 1

x2 = 2

y2 = -4

(-4 - 1) / (2 - 1)

-5 / 1

slope (m) = -5

the equation of a line is y = mx + b

m = slope

b = y-intercept

pick any row to plug "x" and "y" into the equation so you can find "b" (I'll choose row three); you already know the slope (m)

1 = -5(1) + b

1 = -5 + b

b = 1 + 5

b = 6

plug everything in to the equation y = mx + b

equation: y = -5x + 6

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$\large\underline{\sf{Solution-}}$

Given that,

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⇛∠TRS = ∠TPQ [ Corresponding angles ]

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$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} }$

$\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9}$

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