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The graph of the equation is graph (D)

The equation of the graph is given as:

[tex]y- 4 = 3(x - 1)[/tex]

Add 4 to both sides of the equation

[tex]y = 3(x - 1) + 4[/tex]

Apply the distributive property

[tex]y = 3x - 3+ 4[/tex]

Evaluate the sum of -3 and 4

[tex]y = 3x +1[/tex]

The above means that, the graph of [tex]y- 4 = 3(x - 1)[/tex] has a slope of 3 and a y-intercept of 1

Hence, the graph of the equation is graph (D)

Read more about linear functions at:

https://brainly.com/question/15602982