Question 464545
  <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 the graph of 2x + 4y = -1 OR y = -(1/2)x - 1/4 (green)
Slope of the line perpendicular is m = 2 (negative reciprocal)
New line:
y = 2x+ b  |using ordered pair (-1,3) to solve for b
3 = -2 + b
5 = b
 y = 2x + 5 (blue)
{{{drawing(300,300,   -6, 6, -6, 6, grid(1),
circle(-1, 3,0.3),
graph( 300, 300, -6, 6, -6, 6,0, -.5x-.25, 2x+5))}}}