Math, always, sometimes, or never about linear equations

Question

____ 1. When writing an ordered pair for a linear equation of the form Ax+By=C, the y-coordinate is Always, Sometimes, or Never placed before the x coordinate as in (y,x).

____ 2. A linear equation will Always, Sometimes, or Never contain a squared variable term.

____ 3. A linear equation will Always, Sometimes, or Never contain two different variables.

____ 4. The y intercept of the graph of an equation will Always, Sometimes, or Never have a y coordinate of 0.

____ 5. If a linear equation contains only one variable its graph will Always, Sometimes, or Never pass through the origin.

Answer 1

Let's look at each question and analyze cases for which "always, 

sometime, never" can be a possible answer:

 

1. Never - an ordered pair is always given in the form (x,y) in every 

                instance, x-coordinate first, y-coordinate next.

 

2. Never - a linear equation is an equation of degree 1.  An 

                equation with a squared variable term (degree 2)

                is a quadratic equation resulting in a parabola when 

                graphed, not a straight line.

 

3.  Sometimes - the equations "y=4" graphing a horizontal line or 

                "x=-7" graphing a vertical line do not contain 2 

                variables but are graphs of linear equations.

 

4.  Always - the "y-intercept" is the intersection of where the

                graph of a linear equation crosses the y-axis, the line 

                y=0, hence, the y-coordinate of any ordered pair

                is "0" as in (x,0).

 

5.  Sometimes - the graphs of the linear equations "y=0" and

                "x=0" pass thru the origin (0,0) and contain only

                one variable.