Given the points below, are the two lines parallel, perpendicular, or neither. L1: (-4, 6) (-3,-1) L2: (8,9) (15, 10)

perpendicular  

Step-by-step explanation:

First we need to dtemine the slopes of the line

For line 1

L1: (-4, 6) (-3,-1)

m1 = y2-y1/x2-x1

m1= -1-6/-3+4

m1 = -7/1

m1 = -7

For line 2:

L2: (8,9) (15, 10)

m2  = 10-9/15-8

m2 = 1/8

Take their product

m1 * m2 = -7 * 1/7

m1m2 = -1

Since the product of their slopes is -1, hence they are perpendicular  

b. astronomers

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1