What is the equation of the line in slope-intercept form?

Answer:
[tex]\bold{y=-\frac12x}[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
The line intersect Y-axis at y=0 so b = 0
The line passses through points (0, 0) and (2, -1), so the slope:
[tex]m=\dfrac{-1-0}{2-0}=-\dfrac12[/tex]
Therefore the equation:
[tex]y=-\frac12x+0\\\\y=-\frac12x[/tex]