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