Answer:
y=-2x-4
Step-by-step explanation:
Given that,
Slope, m = -2
It passes through the point (1,-6).
We need to find the equation of line that passes throgh the given point. It can be calculated as:
[tex]y-y_1=m(x-x_1)[/tex]
Put y₁ = -6, x₁ = 1 and m = -2
[tex]y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4[/tex]
Hence, the equation of line is y=-2x-4.