Answer:
y = 1/2 x + 3/2
Step-by-step explanation:
We need to start by finding the slope of the given line, since a line parallel to it will have the same slope. Then we need to solve for y in the given equation;
- 2 x + 4 y = 8
add 2x to both sides
4 y = 2 x + 8
divide both sides by 4 to isolate y
y = 1/2 x + 2
Then, the slope we are looking for is "1/2"
Now we write the equation of the parallel line we are trying to find, in "point slope form", using the point (-5, -1) we want to have on the line:
y = m (x - x1) + y1
replacing m with our slope 1/2, x1 with -5, and y1 with -1:
y = 1/2 (x - -5) + (-1)
y = 1/2 x + 5/2 - 1
y = 1/2 x + 3/2
