What does the solution of equal negative x - 4 and y equal 3x + 1

x = -1.25

y = -2.75

Step-by-step explanation:

y = -x - 4

y = 3x + 1

3x + 1 = -x - 4

4x = -5

x = -1.25

y = -(-1.25) - 4 = -2.75

y = 3*(-1.25) + 1 = -2.75

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: