Find the slope and y/intercept of y = 5x – 2

The slope  is 5  and teh y-intercept is -2.

Step-by-step explanation:

The slope is the number next  acting as the coefficient of the x variable, and y intercept is always the constant value which never changes and that number is -2.

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: