Question 636174
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Using the standard slope-intercept form for an equation of a line y = mx + b
  where m is the slope and b the y-intercept.
<u>perpendicular</u> to y= 2x-1 ( m = 2), contains (2,7)
New Line:  {{{m = -1/2}}} Note: negative reciprocal of 2
 y = (-1/2)x + b
 7 = (-1/2)·2  + b   |Using ordered pair (x,y): (2,7)  to solve for b
 8 = b
 y = (-1/2)x + 8
{{{drawing(300,300,    -10,10,-10,10,  grid(1),
circle(2, 7,0.3),
graph( 300, 300,   -10,10,-10,10,0,-.5x + 8, 2x-1))}}}