Certainly! Let's convert the given linear equation [tex]\( y = -\frac{2}{7}x - \frac{11}{7} \)[/tex] into its standard form [tex]\( Ax + By = C \)[/tex].
### Step-by-Step Solution:
1. Starting Equation:
[tex]\[ y = -\frac{2}{7}x - \frac{11}{7} \][/tex]
2. Remove the fractions by multiplying through by 7 to clear the denominator:
[tex]\[ 7y = -2x - 11 \][/tex]
3. Rearrange the equation to have all terms on one side with zero on the other side, with [tex]\(Ax\)[/tex] first and [tex]\(By\)[/tex] second:
[tex]\[ 2x + 7y = -11 \][/tex]
Hence, the standard form of the equation [tex]\( y = -\frac{2}{7}x - \frac{11}{7} \)[/tex] is:
[tex]\[ \boxed{2x+7y=-11} \][/tex]
