Question

Hi can someone please help me I need help please help me thank you

Answer 1

the lines are perpendicular

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x - 2y + 8 = 0 ( subtract x + 8 from both sides )

- 2y = - x - 8 ( divide all terms by - 2 )

y =
`(1)/(2)` x + 4 ← in slope- intercept form

with slope m =
`(1)/(2)`

Given also

2x + y + 1 = 0 ( subtract 2x + 1 from both sides )

y = - 2x - 1 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes

The slopes are not equal thus the lines are not parallel.

For lines to be perpendicular the product of their slopes = - 1

`(1)/(2)` × - 2 = -1

Thus the 2 lines are perpendicular.

Answer 2

The lines are reflections of each other.

Explanation:

The slope of the first line is 2/5.

The slope of the second one is -2/5.

The lines are reflections of each other.