Question 450097
 <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
*[tex \LARGE\ Using \ the \ standard \ slope-intercept \ form \ for \ an \ equation \ of \ a  \ line \ y = mx + b ] 
*[tex \LARGE\ where \ m \ is \ the \ slope \ and \ b \ the \ y-intercept]
Line perpendicular to -7x – 4y = -4  
  -7x – 4y = -4 
    y = (-7/4)x +1 = y   Slope m = (-7/4)
New Line:  Slope = 4/7
 y = (4/7)x + b    |line passes through (-14, -3) 
-3 = (4/7)*-14 + b
 5 = b
  y = (4/7)x + 5
{{{drawing(300,300,   -15,15,-15,15 , grid(1),
circle(-14, -3,0.6),
graph( 300, 300, -15,15,-15,15,0, (4/7)x + 5))}}}