Question 209864
parallel to -3x+2y=9 and containing the point (-2,1)
2Y=-3X+9
Y=-3X/2+9/2
Y=-1.5X+4.5 ( RED LINE)
THE PARALLEL LINE ALSO HAS A SLOPE=-1.5
1=-1.5*-2+b
1=3+b
b=1-3
b=-2 THE Y INTERCEPT.
y=-1.5x-2 (GREEN LINE)
{{{ graph( 300, 200, -6, 5, -10, 10, -1.5x +4.5, -1.5x -2) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -1.5x +4.5 and -1.5x -2).