Determine a relationship between the x- and y-values . write the resulting equation [(2,,,7),5,9)]a. y=3x-1 b. y=x+1 c. y=x-1 d. y=2x-1

The slope-intercept form of a line is y=mx+b where m= slope and b=y-intercept.

Formula to find slope is

Let's take first two points (2,3) and (3,5) to find the equation. So, plug in x1=2, y1=3, x2=3 and y2=5 in the above formula. So,

So, m=2

Point-slope form of a line is:

So, next step is to plug in x1=2, y1=3 and m=2 in the above equation. Hence,

y-3=2(x-2)

y-3=2x-4

y= 2x-4+3

y=2x-1

Hence, the correct choice is D: y=2x-1

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints