Question 153486
(-4,8) (5,-1)
slope=(y2-y1)/(x2-x1)
(-1-8)/(5+4)=-9/8 slope.
Y=mX+b
8=-9/8*-4+b
8=36/8+b
8=9/2+b
b=9-9/2
b=9/2 THE Y INTERCEPT.
Y=-9X/8+9/2 (RED LINE)
THE PERPENDICULAR LINE HAS A SLOPE=8/9 THROUGH (-3,-8)
-8=8/9*-3+b
-8=-24/9+b
b=-8+24/9
b=(-8*9+24)/9
b=(-72+24)/9
b=-48/9=-16/3
Y=8X/9-16/3 (GREEN LINE)
{{{ graph( 300, 200, -6, 5, -10, 10, -9X/8 +9/2, 8X/9 -16/3) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -9X/8 +9/2 and 8X/9 -16/3).