Consider the following two equations.
y=3x-2
y=3x+3

No solution

Step-by-step explanation:

These are two distinct parallel line, they will never meet

No solution

Step-by-step explanation:

Given the 2 equations

y = 3x - 2 → (1)

y = 3x + 3 → (2)

Substitute y = 3x - 2 into (2)

3x - 2 = 3x + 3 ( add 2 to both sides )

3x = 3x + 5 ( subtract 3x from both sides )

0 = 5 ← this is not possible

This indicates the system has no solution

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: