The slope-intercept form:
[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]
We have the points (4, 3) and (0, 1) → b = 1.
Calculate the slope:
[tex]m=\dfrac{1-3}{0-4}=\dfrac{-2}{-4}=\dfrac{1}{2}[/tex]
Answer: [tex]\boxed{D.\ y=\dfrac{1}{2}x+1}[/tex]
