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3 years ago

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Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are

1 answer:

Alex777 [14]3 years ago

6 0

Line QR :
(2,8)(3,10)
slope = (10 - 8) / (3 - 2) = 2/1 = 2
y = mx + b
8 = 2(2) + b
8 = 4 + b
8 - 4 = b
4 = b
and ur y int = 4

Line ST :
(0,6)(-2,2)
slope = (2 - 6) / (-2 - 0) = -4 / -2 = 2
and ur y int (0,6) = 6

same slopes. different y intercepts.....means Line QR and Line ST are
PARALLEL LINES

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Answer:

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Step-by-step explanation:

Given

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Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

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$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

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$\frac{y_2}{4} = 3$ -- (2)

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Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

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