Find the equation of the line specified. The line passes through the points (7, -7) and (6, -5) a. y = -2x + 7
b. y = 2x -21
c. y = -2x - 7
d. y = 2x - 7

a. y = -2x + 7

Step-by-step explanation:

First, find the slope by plugging the points into the slope formula, , which equals -2. Then use the slope and the point (7,-7) to make an equation in slope-point form. y+7=-2(x-7), finally solve for y to get y=-2x+7.

can you add an image ?

step-by-step explanation:

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: