Answer:
The lines are parallel.
Step-by-step explanation:
Given the lines
[tex]-2x-3y=9[/tex]
[tex]4x+6y=24[/tex]
Writing the equations in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
[tex]-2x-3y=9[/tex]
[tex]y=-\frac{2}{3}x-3[/tex]
Thus, the slope = m₁ = -2/3
also
[tex]4x+6y=24[/tex]
- [tex]y=-\frac{2}{3}x+4[/tex]
Thus, the slope = m₂ = -2/3
- We know that parallel lines have equal slopes
As
m₁ = m₂
Thus, the lines are parallel.
