Question 125064
Y=2X/3-5 (RED LINE).
THIS LINE HAS A SLOPE OF 2/3. THUS A PERPENDICULAR LINE HAS A SLOPE OF -3/2.
4=-3/2*2+b
4=-3+b
b=4+3
b=7 IS THE Y INTERCEPT.
THUS THE EQUATION FOR THIS LINE IS:
Y=-3X/2+7 (GREEN LINE).
YES THE ANSWER IS (C).
{{{ graph( 200, 200, -10, 10, -10, 10, y = 2x/3 -5, y = -3x/2 +7) }}} (graph 200x200 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = 2x/3 -5 and y = -3x/2 +7).