What is the equation of the line written in slope-intercept form show how you determine the equation

based on the linear model predict how long anika worked on the setup crew on the day the fair arrived at the fairgrounds day 0 approximately how much did her setup time decrease per day

Step-by-step explanation:

the two points of the line are, (2,15)  (6,10)

lets use rate of change to find the slope

m=(10-15)/(6-2)

m=(-5/4)

now we can use point slop form to find slope intercept form.

y-15=(-5/4)(x-2)

y-15=-5/4x+5/2

y=-5/4+35/2

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: