Question

BRAINLIEST (I REPORT) SHOW WORK USING GRAPH

Answer 1

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.

Answer 2

Answer:

x −2 −1 1 2

y −4 −2 2 4

Explanation:

$x = -2,$ $y = -4$  → $k=\frac{-4}{-2} =2$

$x=-1,y=-2$ →$\frac{-2}{-1} =2$

$x=1,y=2$ →$k=\frac{2}{1} =2$

$x=2,y=4$ →$k=\frac{4}{2} =2$

This Table All has the same value of K

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

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