[tex]\boxed{y=-2x-5}[/tex]
Explanation:
The slope-intercept form of the equation of a line:
[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept[/tex]
The given line has the following characteristics:
[tex]y=-2x+3 \\ \\ \\ So: \\ \\ m=-3 \\ \\ b=3[/tex]
So the line we are looking for needs to be:
[tex]y=-2x+b \\ \\ \\ It \ passes \ through \ (-2,-1): \\ \\ -1=-2(-2)+b \\ \\ b=-1-4 \\ \\ b=-5[/tex]
So, the equation of the line would be:
[tex]\boxed{y=-2x+3}[/tex]
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