Answer:
[tex]\large\boxed{y=-x+1}[/tex]
Step-by-step explanation:
The slope-intercept from of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = -1 and the point (4, -3) → x = 4, y = -3.
Substitute to the equation:
[tex]-3=(-1)(4)+b[/tex]
[tex]-3=-4+b[/tex] add 4 to both sides
[tex]-3+4=-4+4+b[/tex]
[tex]1=b\to b=1[/tex]
