Question 73464
Y+6=-X/3
Y=-X/3-6 THIS LINE HAS A SLOPE OF -1/3 SO A PERPENDICULAR LINE HAS A SLOPE OF 3.
NOW REEPLACE THE X&Y VALUES & THE SLOPE (m) IN THE LINE EQUATION (Y=mX+b) & SOLVE FOR THE Y INTERCEPT(b)
-5=-4*3+b
-5=-12+b
b=-5+12
b=7 THUS THE LINE EQUATION IS:
Y=3X+7
FOLLOWING IS THE GRAPH OF THESE TWO LINES:
{{{ graph( 300, 300, -10, 10, -10, 10, y = -x/3 -6, y = 3x +7) }}} (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = -x/3 -6 and y = 3x +7).