Solution Found!
The equation 2x - y = C defines a family of lines, one
Chapter , Problem 2.3.127(choose chapter or problem)
The equation \(2 x-y=C\) defines a family of lines, one line for each value of C. On one set of coordinate axes, graph the members of the family when \(C=-4, C=0\), and C = 2. Can you draw a conclusion from the graph about each member of the family?
Questions & Answers
QUESTION:
The equation \(2 x-y=C\) defines a family of lines, one line for each value of C. On one set of coordinate axes, graph the members of the family when \(C=-4, C=0\), and C = 2. Can you draw a conclusion from the graph about each member of the family?
ANSWER:Step 1 of 3
Given equation representing the family of straight lines is
\(2 x-y=C \quad (i)\)
To draw lines for \(C=-4, C=0\) and C = 2.
By plugging \(C=-4\) in equation (i) it results
\(2 x-y=-4 \quad \quad (ii)\)
The graph of the line represented in equation (ii) is shown below