1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.
To find the y-intercept, solve for "b".
b=-7/3
Our equation would then be y=2/3x-7/3
2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.
b=-11
So our perpendicular equation would be y=-3/2x-11
Hope that was helpful. :)
