Find the distance between the points (a1, b1) and (a2, b2).

Step-by-step explanation:

Let there be point X whose coordinates are (a2,b2) and point Y whose coordinates are (a1,b1)

Using distance formula ,

Distance formula will be

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

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: