6. All of the points in the picture are on the same line. a. Find the slope of the line. Explain or
show your reasoning.
b. Write an equation for the line.
c. Find the values for and . Explain or show your reasoning.
d. What is the -coordinate when ? Explain or show your reasoning.

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:

86

step-by-step explanation:

find the area of the triangle then multiply by 2 then add the area of the parollelegram multiplied by 2