Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To convert the equation [tex]\( y = -\frac{1}{3}x - 9 \)[/tex] into standard form, we need to follow specific steps:
1. Start with the given equation in slope-intercept form:
[tex]\[ y = -\frac{1}{3}x - 9 \][/tex]
2. The standard form of a linear equation is [tex]\( Ax + By = C \)[/tex], where [tex]\( A \)[/tex], [tex]\( B \)[/tex], and [tex]\( C \)[/tex] are integers, and [tex]\( A \)[/tex] should be a non-negative integer.
3. To eliminate the fraction, multiply every term by 3 to clear the denominator:
[tex]\[ 3y = -x - 27 \][/tex]
4. Rearrange the equation to get all terms involving [tex]\( x \)[/tex] and [tex]\( y \)[/tex] on one side:
[tex]\[ x + 3y = -27 \][/tex]
This is now in the standard form [tex]\( Ax + By = C \)[/tex].
Thus, the correct answer is [tex]\( \boxed{D} \)[/tex].
1. Start with the given equation in slope-intercept form:
[tex]\[ y = -\frac{1}{3}x - 9 \][/tex]
2. The standard form of a linear equation is [tex]\( Ax + By = C \)[/tex], where [tex]\( A \)[/tex], [tex]\( B \)[/tex], and [tex]\( C \)[/tex] are integers, and [tex]\( A \)[/tex] should be a non-negative integer.
3. To eliminate the fraction, multiply every term by 3 to clear the denominator:
[tex]\[ 3y = -x - 27 \][/tex]
4. Rearrange the equation to get all terms involving [tex]\( x \)[/tex] and [tex]\( y \)[/tex] on one side:
[tex]\[ x + 3y = -27 \][/tex]
This is now in the standard form [tex]\( Ax + By = C \)[/tex].
Thus, the correct answer is [tex]\( \boxed{D} \)[/tex].
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.