Answer:
6x + y = -8
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
m = -6
So
[tex]y = -6x + b[/tex]
(-2, 4)
This means that when [tex]x = -2, y = 4[/tex]. We use this to find b.
[tex]y = -6x + b[/tex]
[tex]4 = -6(-2) + b[/tex]
[tex]b = 4 - 12 = -8[/tex]
So
[tex]y = -6x + -8[/tex]
[tex]6x + y = -8[/tex]