Math problem looking to get help i need to solve and find out whether the lines are parallel perpendicular or neither

Question

2x+8y= -24. And 48y= -12x-144

Answer 1

2x + 8y = - 24

8y = - 2x - 24

y = (- 2/8)x - 24/8

y = (-1/4)x - 3

48y = -12x -144

y = (-1/4)x - 3

Same slope, same intercept ==> same line

Answer 2

2x+8y= -24. And 48y= -12x-144

first we will find slope of every equation of line

2x+8y= -24

8y =-24-2x

y= (-2/3)x -3

slope of line is -2/3

48y= -12x-144

y =(-1/4 )x - 3

slope of line is -1/4

lines are parallel if both lines slopes are equal

lines are perpendicular if  the slopes of two lines are opposite reciprocals of one another, or the product of their slopes is −1

but in this equations slopes are neither equal nor the product of their slopes is −1

so lines are neither parallel nor perpendicular

Answer 3

2x + 8y = -24

x + 4y = -12

x = -4x-12 , so the slope of the first line is -4

48y = -12x - 144

y = (-1/4)x - 3, so the slope is (-1/4)

the slopes are not equal, so the lines are not parallel

the slopes are not negative reciprocals (they are just reciprocals),

so the lines are NOT perpendicular.

The answer is NEITHER.

the lines will intersect.

Answer 4

Determine the slope and y-intercept of each of the equations.

Equal slope and different intercepts - parallel lines

Slope negative reciprocals of each other - perpendicular

Different slopes and different intercepts - intersecting lines