Question

Determine if the given lines are parallel, perpendicular, or neither.

Answer 1

Answer:

The lines are parallel.

Step-by-step explanation:

Given the lines

$-2x-3y=9$

$4x+6y=24$

Writing the equations in the slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

$-2x-3y=9$

$y=-\frac{2}{3}x-3$

Thus, the slope = m₁ = -2/3

also

$4x+6y=24$

• $y=-\frac{2}{3}x+4$

Thus, the slope = m₂ = -2/3

• We know that parallel lines have equal slopes

As

m₁ = m₂

Thus, the lines are parallel.