Question 622708
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Line Perpendicular to x - 4y = 7  or {{{y = (1/4)x - 7/4}}}and passing thru (3,4)
<u>General format for an Equation of a Line is</u>:  {{{y = highlight(m)x + b}}}
New Line: {{{m = (-4)}}} slope is the negative recprocal of {{{m =1/4}}}
 y = -4x + b    | Using Pt(3,4) to solve for b
 {{{4 = -4*3 + b}}}
 4 = -12 + b
 16 = b 
 y = -4x + 16 
{{{drawing(300,300,   -20,20,-20,20,  grid(1),
circle(3, 4,0.8),
graph( 300, 300,-20,20,-20,20,0,.25x - 7/4,-4x+16))}}}