Question 124578
THE LINE PASSING THROUGH (10,4) & (-9,0) IS:
SLOPE=(0-4)/(-9-10)=-4/-19 OR 4/19
0=4/19*-9+b
0=-36/19+b
b=36/19 THUS THIS LINE EQUATION IS:
Y=4X/19+36/19 (red line)
A LINE PERPENDICULAR TO THIS LINE HAS A SLOPE=-19/4 (THE NEGATIVE RECIPRICAL OF 4/19)
THUS A LINE PASSING THROUGH (9,6) WITH A SLOP=-19/4 IS:
6=-19/4*9+b
6=-171/4+b
b=6+171/4
b=(24+171)/4
b=195/4 OR THE EQUATION IS:
Y=-19X/4+195/4 (green line)
{{{ graph( 300, 300, -6, 20, -10, 20, y = 4x/19 +36/19, y = -19x/4 +195/4) }}} (graph 300x300 pixels, x from -6 to 20, y from -10 to 20, of TWO functions y = 4x/19 +36/19 and y = -19x/4 +195/4).