Q 4.104 聽Determine whether the points (... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 4: Q 4.104 (page 457)

Determine whether the points (鈭�4, 鈭�1), (鈭�6, 2), and (鈭�2, 鈭�4) are collinear.

Short Answer

Expert verified

The Given points are collinear.

Step by step solution

Step 1. Given information

The given points are (鈭�4, 鈭�1), (鈭�6, 2), and (鈭�2, 鈭�4) .

Step 2. Calculation

$[\begin{matrix} x_{1} & y_{1} & 1 \\ x_{2} & y_{2} & 1 \\ x_{3} & y_{3} & 1 \end{matrix}] Substitute the values into the determinant . (鈭� 4, 鈭� 1), (鈭� 6, 2), and (鈭� 2, 鈭� 4) . D = [\begin{matrix} - 4 & - 1 & 1 \\ - 6 & 2 & 1 \\ - 2 & - 4 & 1 \end{matrix}] Evaluate the determinant by expanding by minors using column 3 . 1 [\begin{matrix} - 6 & 2 \\ - 2 & - 4 \end{matrix}] - 1 [\begin{matrix} - 4 & - 1 \\ - 2 & - 4 \end{matrix}] + 1 [\begin{matrix} - 4 & - 1 \\ - 6 & 2 \end{matrix}] = (24 + 4) - (16 - 2) + (- 8 - 6) = 28 - 14 - 14 = 0 The value of the determinate is 0, so the points are collinear .$

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91影视

Determine whether the points (鈭�4, 鈭�1), (鈭�6, 2), and (鈭�2, 鈭�4) are collinear.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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