To convert the equation [tex]\( y = -\frac{4x}{7} + 1 \)[/tex] into standard form [tex]\( Ax + By = C \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
y = -\frac{4x}{7} + 1
\][/tex]
2. Eliminate the fraction by multiplying every term by 7:
[tex]\[
7y = -4x + 7
\][/tex]
3. Rearrange the terms to get the equation in the form [tex]\( Ax + By = C \)[/tex]:
[tex]\[
4x + 7y = 7
\][/tex]
So, the equation [tex]\( y = -\frac{4x}{7} + 1 \)[/tex] in standard form is:
[tex]\[
4x + 7y = 7
\][/tex]
This corresponds to the values [tex]\( A = 4 \)[/tex], [tex]\( B = 7 \)[/tex], and [tex]\( C = 7 \)[/tex].
