Answer:
slope = - [tex]\frac{2}{3}[/tex]
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
2x + 3y = 8 ( subtract 2x from both sides )
3y = - 2x + 8 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{8}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes , thus
slope of parallel line = - [tex]\frac{2}{3}[/tex]
