The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b).
Read two points from the graph.
y-intercept = (0, 2) → b = 2
x-intercept = (-5, 0)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\dfrac{0-2}{-5-0}=\dfrac{-2}{-5}=\dfrac{2}{5}[/tex]
Therefore your answer is
[tex]\boxed{C.\ y=\dfrac{2}{5}x+2}[/tex]
