Question 416297
 <pre><font face = "Tohoma" size = 4 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. 
equation of a line that is perpendiclar to y=2x+3 and passes through (3,4)
    y = (-1/2)x + b  |Using order pair Pt(3,4) to solve for b
    4 = -3/2 + b
    11/2 = b     y = (-1/2)x + 11/2  green Line
{{{drawing(300,300,   -10,10,-10,10,  grid(1),
circle(3, 4,0.4),
circle(0, 11/2,0.4),
circle(0, 3,0.4),

graph( 300, 300, -10,10,-10,10,0,-.5x + 11/2, 2x+3))}}}