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
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