Answer:
[tex]y=6x-19[/tex] is the function which best
represented by this graph.
The graph is also attached.
Step-by-step explanation:
As the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
Given
m = 6 and the point (4, 5)
substituting the values in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 5 = 6 (x - 4)[/tex]
[tex]y - 5 = 6x-24[/tex]
[tex]y=6x+5-24[/tex]
[tex]y=6x-19[/tex]
Therefore, [tex]y=6x-19[/tex] is the function which best
represented by this graph.
The graph is also attached.