Respuesta :

absor201

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.

Otras preguntas