The general equation for a linear equation is
So if you breakdown this equation () you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.
Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'
Answer:
The system is INCONSISTENT.
Equation of two parallel lines differ only by a constant.
Step-by-step explanation:
The given equations are:
2x + y = -11
6x + 3y = 15
From the graph we see that these lines are parallel. Any two parallel lines never meet. Hence, they do not have a solution.
Hence, the system is called an Inconsistent system.
Also, note that it can be seen easily from the equations are parallel without the help of a graph.
The equation 6x + 3y = 3(2x + y)
The terms (except for the constant term) are proportional. That means they represent parallel lines.
Hence, the answer.
