Question 214487
3x-2y = 6, And Passing Through The Point (7,2)?
-2Y=-3X+6
Y=-3X/-2+6/-2
Y=3X/2-3 (RED LINE) WITH A SLOPE=3/2.
A PERPENDICULAR LINE HAS A SLOPE=-2/3
2=-2/3*7+b
2=-14/3+b
b=2+14/3
b=6/3+14/3
b=20/3 the y intercept
Y=-2x/3+20/3 is this perpendicular line equation. (green line).
{{{ graph( 300, 300, -10, 10, -10, 10, 3x/2 -3, -2x/3 +20/3) }}} (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 3x/2 -3 and -2x/3 +20/3).