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