Answer:
slope = [tex]\frac{5}{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
5x - 3y = 18 ( subtract 5x from both sides )
- 3y = - 5x + 18 ( divide the terms by - 3 )
y = [tex]\frac{5}{3}[/tex] x - 6 ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex]
Parallel lines have equal slopes , then
slope of line parallel to 5x - 3y = 18 is m = [tex]\frac{5}{3}[/tex]
