The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.
We need to find the slope-intercept equation of the line.
What is the slope-intercept equation?
Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
The coordinates of the line (-1, 1) and (1, -3).
The slope of the equation is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Now, m=-3-1/1+1=-2
Substitute m=-2, x=-1 and y=1 in y=mx+b.
That is, 1=-2(-1)+b⇒b=-1
So, y=-2x-1
The slope-intercept equation of the line is y=-2x-1. Therefore, option A is the correct answer.
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