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Hi
the standard slope-intercept form for an equation of a line is 
 
  
what is the slope of a line perpendicular to the line whose equation is: 
 x - y = -3    
 x = y -3     |Solve for y
 x + 3 = y    |coefficient of x = 1
    m = 1 
Perpendicular Lines have slopes that are negative reciprocals of one another
    m = -1  the slope of a line perpendicular
Wish You the Best in your Studies.
Sketch of y = x+3 (Green)  and a line perpendicular to it y = -2x - 2
