Determine whether the lines passing through the pairs of points are parallel, perpendicular or neither. Line a: (−4,4) and (8,−10) Line b: (4,8) and (18,20)

Perpendicular.

Step-by-step explanation:

Find the slopes of each line through

Line a:

m = (-10-4) / (8--4)

= -14/12

= -7/6

Line b:

m = (20-8) / (18 -4)

= 12/14

= 6/7

When lines are parallel, they have the same slope. Since -7/2≠6/7, they are not parallel.

When lines are perpendicular, the product of the slopes equals -1.

-7/6 x 6/7 = -1

The product is -1, hence they are perpendicular lines.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

.25

step-by-step explanation: