Hi Susan R
First you need to get your given line into Slope Intercept Form by solving it for y
Second check out the rules for slopes of parallel lines
Use the point given P(-2,1) to solve for b in your line parallel to 10x + 4y = -8
I will do the first part below
Slope Intercept Form is
y = mx + b
You are given the line
10x+4y=-8
4y = -10x - 8
y = (-10/4)x -(8/4)
y = -2.5x - 2 This is your given line in Slope Intercept Form
Can you do the other steps?
Please give it a try.
If you have any questions please send me a message.
Remember you can graph both your lines at Desmos.com.