Determinants Are Used to Show That Three Points Lie on the Same

question 113

Multiple Choice

Determinants are used to show that three points lie on the same line (are collinear) . If
-The equation of a line passing through two distinct points (x1, y1) and (x2, y2) is given by $\left|\begin{array}{lll}x & y & 1 \\x_{2} & y 2 & 1 \\x_{3} & y_{3} & 1\end{array}\right|=0 . \text { Use the determinant to write an equation for the line passing through }(-6,9) \text { and }$
$( - 8,3 )$ . Express the line's equation in standard form.

• A) \(6 x - 2 y + 54 = 0\)
• B) \(9 x - 8 y - 18 = 0\)
• C) \(- 6 x + 2 y + 54 = 0\)
• D) \(3 x - 6 y - 72 = 0\)

---

Definitions:

Mobile Wallets

Digital wallets on smartphones that store credit card, debit card, coupons, or reward card information to facilitate electronic transactions directly from the phone.

Near-field Communication

A set of communication protocols for communication between two electronic devices over a distance of 4 cm or less, often used for contactless transactions.

IoT

Stands for Internet of Things, which refers to the network of physical objects (things) that are embedded with sensors, software, and other technologies for the purpose of connecting and exchanging data with other devices and systems over the internet.

MiFi

A portable broadband device that allows multiple end users and mobile devices to share a 3G or 4G mobile broadband Internet connection and create an ad-hoc network.