In: Economics
If a relation between X and Y is provided by the equation y = 12 + –2.6 x, then we know that there is a _____ relationship between the variables X and Y.
A. |
non-linear |
|
B. |
linear |
|
C. |
constant |
|
D. |
negative |
|
E. |
Only A and C |
|
F. |
Only B and D |
|
G. |
Only B, C, and D |
y = 12 + –2.6 x
y = 12–2.6 x
An equation is constant and linear when slope remain same. Here:
Slope of equation= dy/dx= -2.6
Also as the value of slope is negative which means there is negative relationship between y and x that is as x increases, it will cause y to decrease. Also the slope is constant which implies linear and constant relationship between the variables x and y.
The correct option is:
G. Only B, C, and D