Select the correct properties of slope below. a. lines that go up from left to right should have a positive slope. b. lines that go down from left to right should have a negative slope. c. lines that are equally steep should have the same slope. d. the slope of a steep line should be bigger than the slope of a flat line. e. the slope of a steep line should be smaller than the slope of a flat line.

is there any attachment? what are the equations?

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: