a) p is 19/2 which is (19/2,4)
b) we use the slope of the first equation y=1/2x-3/4
so perpendicular m = -2 and we plug in the points. for (2,4)
y-4=-2(x-2)
y-4=-2x+4
y=-2x+8
2x+y=8 .
c) get both equations in form of y=mx+b
y=-2x+8 multiply top with -1 for elimination property=> -y=2x-8
y=1/2x-3/4
-y=2x-8
0=5/2x-35/4
x=7/2 plug it back to the equation.
y=25/4
D.(7/2,25/4)
d) use the distance formula. (2,4) and (7/2, 25/4)
d=((7/2-2)^2+(25/4-4)^2)^(1/2)
d= 2.7 units or almost near to given answer.
e, I do not have time bye.