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vickye146
26.10.2019 •
Mathematics
Look at this function:
x y
−6 −13
−4 −9
−2 −5
0 −1
mark said that the function is linear.
jason said that the function is nonlinear.
which of the following explains who is correct?
Solved
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Ответ:
y values are increasing by 4
Mark is correct
Ответ:
As x coordinate of function is : -6, -4, -2, 0
And y coordinate of function is : -13, -9, -5,-1
If a function is linear it means
Slope will be same everywhere.
Slope between two points
is = ![\frac{y_{2}-y_{1}}{x_{2} -x_{1}}](/tpl/images/0347/3938/a3990.png)
=![\frac{-9+13}{-4+6}=\frac{4}{2}=2\\\frac{-5+9}{-2+4}=\frac{4}{2}=2\\\\\frac{-1+5}{0+2}=\frac{4}{2}=2\\\\\frac{-1+13}{0+6}=\frac{12}{6}=2](/tpl/images/0347/3938/e3a8a.png)
So, between any two points slope are same i.e equal to 2.So it is a linear function.
So, Mark is right that the function is linear.
Ответ: