Question

HELPP PLLSSS!!

A linear relationship is given in the table.


x −2 −1 0 1 2
y −18 −12 −6 0 6


What is the slope of the relationship?
−6
negative one sixth
one sixth
6


Is the linear relationship also proportional? Explain.
No, the constant of proportionality is 2.
Yes, the constant of proportionality is 2.
No, there is no constant of proportionality.
Yes, there is no constant of proportionality.

Answer 1

Explanation:

To find the slope of the linear relationship, we need to use the formula:

slope = (change in y) / (change in x)

We can choose any two points from the table to find the change in y and change in x. Let's choose the points (A1 ,B1)=(-1, -12) and (A2,B2)= (1, 0):

change in y =(B2-B1)= 0 - (-12) = 12

change in x =(A2-A1)= 1 - (-1) = 2

slope = change in y / change in x = 12 / 2 = 6

Therefore, the slope of the relationship is 6.

To determine if the linear relationship is also proportional, we need to check if the ratio of y to x is constant for all pairs of x and y in the table. calculate the ratios for each pair of x and y:

-2: -18/-2 = 9

-1: -12/-1 = 12

0: -6/0 (undefined)

1: 0/1 = 0

2: 6/2 = 3

We can see that the ratios are not constant, so the linear relationship is not proportion

Answer 2

Explanation:

To find the slope

m = ∆y/∆x

m = (6 -0)/(2-1)

m = 6/1= 6

hence the slope is 6

now the other question

y = m(x -x1) +y1

y = 6(x - 1) +0

y = 6x -6

none of the options are right.