Question 626660
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Write the equation of the line which passes through (2, –3) and is <u>perpendicular</u> to y = 4x + 7  ( m = 4/1)
New Line: m = -1/4 (negative reciprocal of 4/1)
 y = (-1/4)x + b
-3 = (-1/4)2 + b
 -5/2 = b
 y = (-1/4)x -7/2    or   x + 4y = -14
{{{drawing(300,300,   -6, 6, -6, 8, grid(1),
circle(2, -3,0.3),
graph( 300, 300, -6, 6, -6, 8,0,4x+7,(-1/4)x -5/2))}}}