we need to find the equation of a like, in two different ways
a) slope-interceppt Y=mX+b
b) standard form aX+bY=c
the information we have is,
it's parallel to x+2y=5 (this mean the have the same slope
so, let's find it
x+2y=5
2y=5-x
y=5/2 - 1/2 x
the slope is m= -1/2
The other thing we know is the line passing through (-3,5)
so when x=-3 the value of Y has to be 5
So let's check, until now we have the slope, our line is y= -1/2x + B
let's find out the value of B, replacing the values of x and y
5= -1/2 * -3 +B
5= 3/2 + B
7/2= B
So, the answer to (a) is=
Y= -1/2 X + 7/2
b) we need to change from slope to standard form
Y= -1/2 X + 7/2
Y + 1/2 X= 7/2
i think that's standard form, but also you can divide for 7/2 to get
2/7 Y + 1/7 X = 1