Select the slope-intercept form of an equation for a line with y-intercept -5 and slope 2.

Step-by-step explanation:

The slope intercept form is y = mx + b

Where m is our slope and b is our y-intercept

We're given a slope of 2

We're given a y-intercept of -5

Substituting into y = mx + b gives

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: