Question 636324
  <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.
line passing through (0, 2) and <u>perpendicula</u>r to the line y = 4x – 3, m = 4
New Line:  {{{m = -1/4}}} Note: negative reciprocal of 4
 y = (-1/4)x + b
 2 = (-1/4)·0  + b   |Using ordered pair (x,y): (0,2)  to solve for b
 2 = b
 y = (-1/4)x + 2
{{{drawing(300,300,   -6, 6, -6, 6, grid(1),
circle(0, 2,0.3),
graph( 300, 300, -6, 6, -6, 6,0,-.25x + 2, 4x-3))}}}