Answer: (a) (
) = (3,2)
(b) (
) = (19,-7)
Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:


Isolating
:


And
:


(a) Replacing values and calculating
:


Calculating
:
![y_{2}=[2*(-1)]-(-4)](https://tex.z-dn.net/?f=y_%7B2%7D%3D%5B2%2A%28-1%29%5D-%28-4%29)


(b) 


= -7

10.5*5= 52.5 is the correct answer to the question

<u>Explanation</u>
Slope= 2/3
Y intercept= -2
x y
0 3
----------------
-2 0
Linear equations are those equations between variables that give a straight line when plotted on the graph.The standard form for linear equations in two variables is Ax+By=C.
linear equation refers implicitly to the case of just one variable. Here the linear equation 200x-300y=600 gives straight line when plotted on the graph.
The graph linear equation means the linear equation has to be plotted on the graph. After plotting it on the graph we get straight line passing x and y axis. The graph has been attached to the answer.
The function is graphed as shown below
Part A:
We use the formula

to find the vertex of the function. A quadratic function of the form of

and equating this form to the given function

, we have

and

.
Substituting

and

into the vertex formula, we have

, as shown in the graph
This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos
Part B:
We can find solution to this equation by factorising





and

, as shown in the graph
The two values means that the company makes no profit when they either produce 5 or 15 photos