Therefore the graph represents a non linear function.
Example of a linear function
ax+by=c
Example of non linear function
y²= 4ax
Step-by-step explanation:
The equation of line which passes through the line (0,4)and(1,8) is
[ here
and
]
If a line passes through the points(0,4) ,(1,8) and (2,10) .Then (2,10) will satisfies the equation of line.
L.H.S = 10 -4(2) -4
=10-8-4
=-2 ≠ R.H.S
Therefore the graph represents a non linear function.
Example of a linear function
ax+by=c
Example of non linear function
y²= 4ax
Given:
The graph of a line which represents position (m) at time (s).
To find:
The slope of the line.
Solution:
Formula for slope:
From the given graph it is clear that the line passes through two points (0,0) and (1,4).
Using the above formula, we get
Therefore, the slope of the line is 4 m/s.