Answer:
y- intercept = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1
Multiply through by 6 to clear the fractions
2x + 3y = 6 ( subtract 2x from both sides )
3y = - 2x + 6 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + 2 ← in slope- intercept form
with y- intercept c = 2