Phase 4 Individual Project
Part 1
State whether the equation 3x^2 y = 6 is linear or nonlinear and explain your answer. My answer is that the equation is nonlinear because there are 2 different parallel lines that do not intersect with each other, the solution is x = 0 and y = 2/x^2. The Cartesian plane which is a two dimensional coordinate system. A horizontal number line forms the x-axis of the plane, and a vertical number line forms the y-axis. The axes intersect at their 0 points; this coordinate is called the origin. Every point in the plane can be defined by its x and y coordinate. The x-coordinate of a point is the point’s distance in the x direction from the y-axis. Similarly, the y-coordinate of a point is the point’s distance in the y direction from the x-axis.
It is customary to use ordered pairs (x, y) to represent the coordinates of a point in the plane. The x-coordinate is the first coordinate, and the y-coordinate is the second coordinate.
It is possible to use graphing to solve a system of linear equations. There are three possible situations for the graphs of lines in a system: the graphs are parallel lines, they are the same line, or the lines intersect at a unique point.
If the lines are parallel, their graphs have no points in common and there is no solution to the system. Lines with the same slope and same y-intercept are not only parallel but also the same line. The graphs are the same line and the system has an infinite number of solutions.
An equation states a balanced relationship between two expressions. The equals sign (=) is used as the balance point between the two expressions, and throughout the process of solving the equation, the balance must be maintained to arrive at a valid solution. There are two rules for solving equations that, if followed, permit this balance to be maintained. The first rule, called the Addition Property and the second rule, called the Multiplication Property.

Part 2
Write the slope intercept form of an equation of the line passing through the points (1, 2) and (5, -10) show your work. Solution y = 5 – 3x, y-intersect = 5 and slope = -3

The cost of producing and selling the software is $9500.00 and the cost for 1 software license is $100.00 and the cost of material is $5.00 (compact disc) so how many license will have to be sold before the company breaks even?
Total Cost $9500.00 divided by cost of material and license $105.00 will equal 90.47 licenses will have to be sold before the company breaks even. But we round up the 90.47 to 91 licenses will have to be sold.