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10) The graph of a linear relationship is shown. Which of the following equations correctly models the relationship?

A. ​

10) The graph of a linear relationship is shown. Which of the following equations-example-1

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The equation of the line in the graph is

A. y = -2/3 x + 2

How to find the equation of the line

The equation of the line will be modelled in the form

y = mx + c

where

m is slope

c is the y-intercept

The slope, m is calculated using the points on the graph (0, 2) and (3, 0)

m = (y₀ - y₁) / (x₀ - x₁)

m = (2 - 0) / (0 - 3)

m = 2 / -3

m = -2/3

c = y intercept, from the graph

c = 2

The equation of the line is y = -2/3 x + 2

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