Question

The table represents some points on the graph of a linear function.

Which function represents the same relationship?

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

The equatipn of the function that represents the same relationship is

h(x)=-3x-10.5

Equation of a line :

The slope intercept form of equation of line is y=mx+b

where m is the slope and b is the y intercept .

We are given with a table that represents the linear function

Pick any two points from the table to find out slope

(-3.5,0) and (-1,-7.5)

$slope =\frac{y_2-y_1}{x_2-x_1} =\frac{-7.5-0}{-1+3.5}=-3$

Now we find out y intercept b . use point slope form

$y-y_1=m(x-x_1)\\m=-3 and (-3.5,0)\\y-0=-3(x+3.5)\\y=-3x-10.5$

The equation of the function that represents the same relationship is

h(x)=-3x-10.5

Learn more information about 'Equation of lines' here

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