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Question

# After plotting the given points on a graph, identify the equation of the function and also state that whether the function is linear or not. x 1 0 2 3 y 22 10 34 46

A
y=12x+10
It is a non linear function
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B
y=10x+12
It is a non linear function
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C
y=12x+10
It is a linear function
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D
y=10x+12
It is a linear function
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Solution

## The correct option is C y=12x+10 It is a linear function x 1 0 2 3 y 22 10 34 46 Plotting the above points on a graph, we observe: The given data represents a function as no input has more than one output Function is given by: y = mx + c (m = slope and c = y-intercept) Slope=Change in yChange in x=22 − 101 − 0=34 − 222 − 1=12 y-intercept = output when x = 0 ⇒y-intercept =10 ∴ Function is given by: y=12x+10 A function is linear when the equation is of the form y = mx + c. So the above function is linear.

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