The points (6,8) and (5,5) fall on a particular line. what is the slope of the line passing through those points? show your work?

The slope of the line passing through these points is 3.

Step-by-step explanation:

A first order function is given by the following formula:

In which a is the slope.

In this problem, we have that:

The line passes through the point (5,5). This means that when x = 5, y = 5. So

The line also passes through the point (6,8). This means that when x = 6, y = 8. So:

So

The slope of the line passing through these points is 3.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional