What is the length of segment bc
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Length BC : 5 units.

Step-by-step explanation:

Given  : Line BC with B (  -3 ,-2) and C ( 0 ,2) .

To find : What is the length of segment BC.

Solution : We have given  Line BC with B (  -3 ,-2) and C ( 0 ,2) .

Length of BC  mean distance between the point B and C.

Distance formula  : .

.

Plug the values in above formula.

Length BC : .

Length BC : .

Length BC : .

Length BC : .

Length BC : .

Length BC : 5 units.

Therefore, Length BC : 5 units.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

c

step-by-step explanation: