Question 410611
  <pre><font size = 3 color = "indigo"><b>
Hi
Line passing thru Pt(6,8) and parallel to 4x+y=6
*[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]
4x+y=6  OR y = -4x + 6  |slope of these parallel lines is m = -4
New Line
  y = -4x + b  |using orderedpari Pt(6,8) to solve for b
  8 = -4*6 + b
        32 = b
   y = -4x + 32  |y-intercept is Pt(0,32)
{{{drawing(300,300,   -50,50,-50,50, grid(1),
circle(8, -5,0.3),
circle(0, 5/3,0.3),
circle(0, 2,0.3),
graph( 300, 300, -50,50,-50,50,0,-4x + 6,-4x + 32 ))}}}