Respuesta :

The required equation of line is:

[tex]y=-x+1[/tex]

Step-by-step explanation:

Given

m=-1

And point (2,-1)

The general form of slope intercept form of equation of line is:

[tex]y=mx+b[/tex]

Putting the value of the slope

[tex]y=-(1)(x)+b\\y=-x+b[/tex]

To find the value of b, putting (2,-1) in the equation

[tex]-1=-(2)+b\\-1=-2+b\\b = 2-1\\b=1[/tex]

Putting the values of b and m in equation

[tex]y=-x+1[/tex]

The required equation of line is:

[tex]y=-x+1[/tex]

Keywords: Equation of line

Learn more about equation of line at:

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