Answer:
![y = -(14)/(13)x + (12)/(13)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jiqfutfvfc9101w88fbvumap0v6zplmlq9.png)
Explanation:
The slope-intercept form of the equation of a line is
y = mx + b
To write the equation of a line in the slope-intercept form, solve the equation for y.
14x + 13y = 12
Subtract 14x from both sides.
13y = -14x + 12
Divide both sides by 13.
![y = -(14)/(13)x + (12)/(13)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jiqfutfvfc9101w88fbvumap0v6zplmlq9.png)