Burns Ruiz
10/15/2023 · Primary School
The correct Standard Form of the equation \( y=-\frac{5}{6} x-\frac{8}{3} \) : (Type correct answer without spaces. Use all lower-case.)
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To convert the equation \( y = -\frac{5}{6} x - \frac{8}{3} \) into standard form, we want to rearrange it into the form \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers, and \( A \) is non-negative.
Starting with the given equation:
\[
y = -\frac{5}{6} x - \frac{8}{3}
\]
First, we can eliminate the fractions by multiplying the entire equation by 6 (the least common multiple of the denominators 6 and 3):
\[
6y = -5x - 16
\]
Next, we rearrange this to get \( Ax + By = C \):
\[
5x + 6y = -16
\]
Now, we want \( A \) to be non-negative. Since \( A = 5 \) is already non-negative, we can leave it as is.
Thus, the standard form of the equation is:
\[
5x + 6y = -16
\]
In lower case and without spaces, the answer is:
\[
5x+6y=-16
\]
Quick Answer
5x+6y=-16
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