What is the equation of the line that passes through the point (3, -2) and has a
slope of -2?

y = -2x + 4.

Step-by-step explanation:

Use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Here the slope m = -2, x1 = 3 and y1 = -2 so:

y - (-2) = -2(x - 3)

y + 2 = -2x + 6

y = -2x + 4 (answer).

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:

heyyy

step-by-step explanation: