Answer:
[tex] y = -\dfrac{14}{13}x + \dfrac{12}{13} [/tex]
Step-by-step 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.
[tex] y = -\dfrac{14}{13}x + \dfrac{12}{13} [/tex]