Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Write the inequality in slope-intercept form:

[tex]\[ 6x - 2y \ \textgreater \ 12 \][/tex]

A. [tex]\( y \ \textgreater \ -6 + 3x \)[/tex]

B. [tex]\( y \ \textgreater \ -6 - 3x \)[/tex]

C. [tex]\( y \ \textless \ -6 + 3x \)[/tex]

D. [tex]\( y \ \textless \ -6 - 3x \)[/tex]

Sagot :

GinnyAnswer
To write the inequality [tex]\(6x - 2y > 12\)[/tex] in slope-intercept form, follow these steps:

1. Start with the given inequality:
[tex]\[ 6x - 2y > 12 \][/tex]

2. Isolate the [tex]\(y\)[/tex]-term by moving [tex]\(6x\)[/tex] to the other side:
[tex]\[ -2y > -6x + 12 \][/tex]

3. Divide every term by [tex]\(-2\)[/tex] to solve for [tex]\(y\)[/tex]. Note that dividing by a negative number reverses the inequality sign:
[tex]\[ y < \frac{-6x}{-2} + \frac{12}{-2} \][/tex]

4. Simplify the terms:
[tex]\[ y < 3x - 6 \][/tex]

So, the inequality written in slope-intercept form is:
[tex]\[ y < 3x - 6 \][/tex]

This matches the inequality given as an option, and hence the correct choice is:
[tex]\[ y < 3x - 6 \][/tex]
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.