Answer:
[tex]\large\boxed{D)\ y=\dfrac{1}{5}x+5}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the y-intercept (0, 5) ⇒ b = 5
and the other point (5, 6).
Put the coordinates of the point to the formula of a slope:
[tex]m=\dfrac{6-5}{5-0}=\dfrac{1}{5}[/tex]
Finally we have the equation:
[tex]y=\dfrac{1}{5}x+5[/tex]
