Space provided.
1. find the equation of the line that is modeled by the values in the table shown below.

part i: determine the slope of the line. show the work you did to find the slope. (6 points)

1) The slope of the line is  or  

2) The equation of the line is

Step-by-step explanation:

step 1

Find the slope

we know that

The formula to calculate the slope between two points is equal to

take any two points from the values in the table

(2,1) and (4,6)

substitute the values in the formula

step 2

Find the equation of the line in point slope form

we have

substitute

Convert to slope intercept form

isolate the variable y

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

im sorry but no. i just need to answer for 50 poonts oof