Question 371607
(-2,4) and is perpendicular to the line whose equation is 
2x+y=10 ( red line). 
Y=-2X+10 THIS LINE HAS A SLOPE=-2
THEREFORE A PERPENDICULAR LINE WILL HAVE A SLOPE=+1/2 (THE NEGATIVE RECIPRICAL)
Y=mX+b where m=slope & b=the y intercept.
Substitute the values of the X & Y points & solve for b.
4=1/2*-2+b
4=-1+b
b=4+1
b=5 Thus the equation is:
Y=X/2+5 (green line)
 {{{ graph( 300, 300, -10, 10, -10, 10, -2x +10, x/2 +5) }}} (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions -2x +10 and x/2 +5).