Aline is perpendicular to y = -x + 1
and intersects the point (-5,1).
what is the equation of this
perpendicular line?

                                                                                                             The equation of the perpendicular line intersects the point (-5,1) is  y=x+6[/tex]

Step-by-step explanation:

step1:-

The standard form of slope - intercept form y=m x+c

Here m is called slope of the given line

C is called the y- intercept of the given line

Given equation of the straight line y=-x+1

comparing  the slope - intercept form y=m x+c

here m= -1 and c=1

step2:-

The equation of the perpendicular line is

} =\frac{-1}{m} (x-x_{1} )[/tex]

substitute m =  -1 and c =1 values  in equation

step3:- The equation of the perpendicular line intersects the point (-5,1) is

y=x+6[/tex]

conclusion:-

The equation of the perpendicular line  is

y=x+6[/tex]

{3 + i, 3 - i, 3, -1}

step-by-step explanation: