Aline passing through which of the following pairs of coordinates represents a proportional relationship?
a.
(1.3, 3.3) and (2.3, 4.3)
b.
(2.5, 5) and (3, 5.5)
c.
(1.25, 2.25) and (2.5, 5)
d.
(1.25, 2.5) and (3.75, 7.5)

D

Step-by-step explanation:

A proportional relationship is a relationship where the x and y values form equal ratios. The ratio is written as y/x.

A.  

(1.3, 3.3) and (2.3, 4.3)

3.3/1.3 = 4.3/2.3 are not equal

B.  

(2.5, 5) and (3, 5.5)

5/2.5 = 5.5/3 are not equal

C.  

(1.25, 2.25) and (2.5, 5)

2.25/1.25 = 5/2.5 are not equal

D.  

(1.25, 2.5) and (3.75, 7.5)

2.5/1.25 = 7.5/3.75 are equal.

yes

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step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.