Answer:
[tex]\large\boxed{\bold{SLOPE}=\dfrac{1}{3}}[/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 (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have two points (0, 4) → b = 4, and (3, 5).
Calculate the slope:
[tex]m=\dfrac{5-4}{3-0}=\dfrac{1}{3}[/tex]
If you want the equation of a line, then put the value of m and b to the equation of a line:
[tex]y=\dfrac{1}{3}x+4[/tex]