Question 137412
1) slope=(8-3)/(5-2)=5/3 answer.
2) slope=(-2+2)/(4-3)=0/1 which is a horizontal line through the point (y=-2).
3) x+3y=6 or 3y=-x+6 or y=-x/3+6/3 or y=-x/3+2 is the line equation (red line).
the perpendicular line has a slope=3
5=3*-3+b
5=-9+b
b=5+9
b=15 is the y intercept  for this line.
y=3x+15 is the line equation for the perpendicular line (green line).
{{{ graph( 300, 300, -10, 16, -10, 16, -x/3 +2, 3x +15) }}} (graph 300x300 pixels, x from -10 to 16, y from -10 to 16, of TWO functions -x/3 +2 and 3x +15).