Question 1173458
<pre><font face = "consolas" color = "indigo" size = 4><b>
Hi
the standard slope-intercept form for an equation of a line is 
{{{y = highlight_green(m)x + highlight(b)}}}  
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
{{{drawing(300,300,   -6, 6, -6, 6, grid(1),

graph( 300, 300, -6, 6, -6, 6,0, x+3, -x - 2)) }}}