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Angelina_Jolie [31]
3 years ago
14

Question 3 (Essay Worth 10 points)

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

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

y-y_1=\frac{y_1-y_2}{x_1-x_2}(x-x_1)

\Leftrightarrow y- 4=\frac{4-8}{0-1}(x-0)             [ here x_1=0 ,y_1=4 and x_2=1, y_2=8]

\Leftrightarrow  y-4=4x

\Leftrightarrow  y-4x-4=0

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

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