Answer:
[tex]y=-\frac{2}{3} x-1[/tex]
Step-by-step explanation:
The equation for a line with slope m=-2/3 through point (0,-1) can be written in three forms: standard, slope-intercept, and point-slope. Slope-intercept is most common and since (0,-1) is the y-intercept we will choose that equation form.
Slope intercept form is y=mx+b where m is slope and b is the y-intercept value. Here m=-2/3 and y-intercept is -1.
We write it as [tex]y=-\frac{2}{3}x-1[/tex].