Question 122319
Y=-2X-1 (RED LINE)FOR A LINE TO BE PERPENDICULAR IT HAS A SLOPE EQUAL TO THE NEGATIVE RECIPRICAL OF THIS SLOPE.
THUS THE SLOPE OF THE PERPENDICULAR LINE =1/2.
USING THE LINE FORMULA:
Y=mX+b & SUBSTITUTION THE SLOPE VALUE=1/2 & USING THE POINT VALUES (2,6) WE SOLVE FOR b.
6=1/2*2+b
6=-+B
b=6-1
b=5 FOR THE Y INTERCEPT.
THUS THE EQUATION IS:
Y=X/2+5 (GREEN LINE)
{{{ graph( 300, 300, -6, 6, -6, 6, y = -2x -1, y = x/2 +5) }}} (graph 300x300 pixels, x from -6 to 6, y from -6 to 6, of TWO functions y = -2x -1 and y = x/2 +5).