algebra 1 question

Question

Determine whether the lines are parallel, perpendicular, or neither.

 

Given the lines have these points:

Line a: (–4,–3) and (0,–4)

 

Line b: (1,–8) and (3,0)

Line a slope:

Line b slope:

Lines are parallel, perpendicular, or neither:



Answer 1

line b's slope = (0--8)/3-1) = 8/2= 4

line a's slope = (-3--4)/(-4-0)=1/-4 = -1/4

the lines are perpendicular, because the slopes are negative inverses of each other

Answer 2

Parallel lines have the same slope.

Perpendicular lines have opposite recipical

To find slope use rise(difference of y values)/run(difference of x values)

Line a slope = -1/4

Line b slope = 4

lines are perpendicular