brown8arietta
Answered

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BRAINLIEST (I REPORT) SHOW WORK USING GRAPH
One of the tables shows a proportional relationship.

Graph the line representing the proportional relationship from this table.

x −2 −1 1 2
y −4 −3 2 4


x −2 −1 1 2
y −4 −2 3 4


x −2 −1 1 2
y −4 −2 2 4


x −2 −1 1 2
y −4 −2 2 6

Sagot :

RevyBreeze

Answer:

x −2 −1 1 2

y −4 −2 2 4

Explanation:

[tex]x = -2,[/tex] [tex]y = -4[/tex]  → [tex]k=\frac{-4}{-2} =2[/tex]

[tex]x=-1,y=-2[/tex] →[tex]\frac{-2}{-1} =2[/tex]

[tex]x=1,y=2[/tex] →[tex]k=\frac{2}{1} =2[/tex]

[tex]x=2,y=4[/tex] →[tex]k=\frac{4}{2} =2[/tex]

This Table All has the same value of K

Hence, 3rd one also known as Table C represent a proportional relationship.

[RevyBreeze]

taylorharvest68
Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form y/x=k or y=kx. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k. If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph. Although the points fall on a line, the line does not pass through the origin, so the graph does not represent two quantities that are proportional to each other.
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