Question 99227
Y=-2X-4 THIS LINE HAS A SLOPE OF (-2). (RED LINE)
A PERPENDICULAR LINE TO THIS LINE HAS A SLOPE OF (1/2 OR .5) THE NEGATIVE RECIPROCAL OF THE OTHER LINE.
NOW REPLACE THEX & Y TERMS IN THE LINE EQUATION[Y=mN+b BY ONE SET OF (X,Y) POINTS & THE SLOPE VALUE OF .5 7 SOLVE FOR THE Y INTERCEPT (b). THUS:
.5=.5*-.5+b
.5=-.25+b
b=.5+.25
b=.75 SO THE EQUATION FOR THIS LINE IS :
Y=.5X+.75 (GREEN LINE)
{{{ graph( 300, 300, -6, 5, -6, 5, y = -2x -4, y = .5x +.75) }}} (graph 300x300 pixels, x from -6 to 5, y from -6 to 5, of TWO functions y = -2x -4 and y = .5x +.75).