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The equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3

Equation of a line

From the question, we are to determine the equation that represent the given line

To determine the equation, we will pick two points on the line and determine the equation of the line

Picking the points (0, 3) and (3, 9)

Using the formula for the finding the equation of a line with two given points

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

x₁ = 0

y₁ = 3

x₂ = 3

y₂ = 9

Then,

(y - 3)/(x - 0) = (9 - 3)/(3 - 0)

(y - 3)/x= 6/3

(y - 3)/x= 2

y - 3 = 2x

y = 2x + 3

Hence, the equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3

Learn more on Equation of a line here: https://brainly.com/question/4074386

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