Question

Please Help me with these 2 Alg 2 Questions No one has helped me and I do not understand

Answer 1

Easy stuff. The slope in the first case is perpendicular to the one you have, so it's the negative of the reciprocal.
y = mx + b (to get the perpendicular you're searching for m)
you have
5x+4y=8
which is equal to
y=-(5x/4) + 2
m1 = -5/4
then m2 = 4/5
You need to check which of the equations they give you has that slope.
To get the ecuation of a line when you have a point and the slope, which is the second case here, you only need to use the point-slope ecuation:
y-y1=m(x-x1)
so you substitute m, y1 and x1 in that equation, and it becomes
y - 0 = (1/2)(x+8)
which is equal to
y = (x/2) + 4