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The values in the table represent a linear function. How does the value of y change in relation to a change in the value of x?

A) for every change in x by 3, y changes by 2
B) for every change in x by 2, y changes by 3
C) for every change in x by 3, y changes by -2
D) for every change in x by 2, y changes by -3

The Values In The Table Represent A Linear Function How Does The Value Of Y Change In Relation To A Change In The Value Of X A For Every Change In X By 3 Y Chan class=

Sagot :

if x is changed by 2 , the y changes by  +3, Option B is the correct answer.

What is the  equation of a Linear Function ?

The equation of a Linear Function is given by

y = mx +c

here m is the slope , c is the intercept on the y axis

The data is given in the table

To determine the relation , a function needs to be established between the variables.

m = ( y2 -y1 )/(x2-x1)

m = (-7 +10) /(-2+4)

m = 3 / 2

y = (3/2)x + c

at x = 0 , y= -4

-4 = 0 + c

c = -4

The function is

y = (3/2) x - 4

if x is changed by 2 , the y changes by  +3

Therefore Option B is the correct answer.

To know more about Linear Function

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