Answer:
y = - [tex]\frac{7}{3}[/tex] x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
14x + 6y = 36 ( subtract 14x from both sides )
6y = - 14x + 36 ( divide all terms by 6 )
y = - [tex]\frac{14}{6}[/tex] x + 6, that is
y = - [tex]\frac{7}{3}[/tex] x + 6 ← in slope- intercept form