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Which equation represents the relationship shown in the graph?

Which equation represents the relationship shown in the graph?-example-1
User Vladimirs
by
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1 Answer

3 votes

The equation that represents the relation is y = 2x.

How to derive equation on a graph

Let's locate 2 points on the graph

consider points (2,4) and (8,16)

The equation of a line is represented as

y = mx + b

m is slope

b is y-intercept

Let's calculate slope using the two points on the graph

m = change in y/change in x

m = 16 - 4/8 - 2

= 12/6

= 2

The line passes through the origin, therefore b is zero.

Substitute into the equation of line

y = 2x + 0

y = 2x

The equation that represents the relation is y = 2x.

User Andreas Schwarz
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8.3k points