Question 345263
(-3,5) and is perpendicular to 
2x+3y=7
3Y=-2X+7
Y=2X/3+7/3 THIS LINE HAS A SLOPE=2/3. (red line)
A PERPENDICULAR LINE WILL HAVE A SLOPE=-3/2 (THE NEGATIVE RECIPRICAL).
Y=mX+b
5=-3/2*-3+b
5=-9/2+b
b=5+9/2
b=5+4.5=9.5 the Y intercept
Y=-3x/2+9.5 is this line equation. (green line)
{{{ graph( 300, 300, -10, 10, -10, 10, 2x/3 +7/3, -3x/2 +9.5 ) }}} (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions 2x/3 +7/3  and -3x/2 +9.5).