Choose the graph that shows the correct sum.

The graph that shows the correct sum is:

                       Graph B

Step-by-step explanation:

We are given a graph of a function f(x) as a straight line that passes through (0,2) and (2,0).

Hence, the equation of f(x) is:

Also the graph of g(x) is a upward open parabola with vertex at (0,-3)

Hence, the equation of g(x) is:

Now the sum function i.e. (f+g)(x) is given by:

Hence,

    Hence, the graph that denotes this function is:

                           Graph B.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17