Write an equation in slope-intercept form for the line that is parallel to the line y = -4x + 5 and that passes through the given point (-8,5). Show your work.

Y=4x-27

Step-by-step explanation:

Parallel lines have the same gradient therefore it's-4

Y-5/X--8 =-4

Y-5=-4(x+8)

Y-5=-4x+-32

Y=-4x-32+5

Y=4x-27

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: