Answer:
y = -3x + 3
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = -3 and the point (-1, 6) → x = -1, y = 6.
Substitute:
[tex]6=(-3)(-1)+b[/tex]
[tex]6=3+b[/tex] subtract 3 from both sides
[tex]6-3=3-3+b[/tex]
[tex]3=b\to b=3[/tex]
Finally:
[tex]y=-3x+3[/tex]
