Line m passes through the point (32,26) and (37,28). what is the slope of a line parallel to line m

a. - 5/2
b. -2/5
c.2/5
d.5/2

C.

Step-by-step explanation:

Let and .

The slope of line m is given by

We plug in the values to get;

The line parallel to m also have slope,

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:

step-by-step explanation: