Question

The linear function that is represented by which table has the same slope as the graph? (the tables are the choices)

Answer 1

Answer: Table 3,

x :  -9   -7    -5   -3    -1

y: -25   -21   -17  -13   -9

has same slope as line given equal to 2.

Step-by-step explanation:

Slope between two points having coordinates,  (x1, y1) (x2,y2) which lie in a coordinate plane is given by:

coordinate plane is given by:

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

• Slope of linear function given in table 1, can be calculated by

We can see table 1,

Then we can write,

                           = (-7 - (-9) ) / (-21 - (-25) )

                           = (-7+9) / (-21+25)

                           = 2/4

                           = 1/2

• Slope of linear function given in table 2, can be calculated by

We can see table 2,

Then we can write,

                         = (7-9) / (-21 - (-25) )

                         = -2/-21+25

                         = -2/4

                         = -1/2

• Slope of linear function given in table 3, can be calculated by

We can see table 2,

Then we can write,

                              =  (-21 - (-25) ) / (-7 - (-9) )

                              = (-21+25) / (-7+9)

                              = 4/2

                              = 2

Now, slope of line which passes through (0,-3) and (3,3) is

                              = (3 - (-3)) / 3-0

                              = 3+3/3

                              = 6/3

                              = 2

Table 3,

x :  -9   -7    -5   -3    -1

y: -25   -21   -17  -13   -9

has same slope as line given equal to 2.

Learn more about event correlation here: brainly.com/question/15830007

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