What is an equation of the line that passes through the point (-8,0) and is parallel to the line x + 2y = 14?

y = -1/2x -4

Step-by-step explanation:

Parallel lines have the same slope.

So first let’s find the slope of that given line.

x + 2y = 14

2y = -x+14

y = -1/2x + 7

The slope of our parallel line then will be -1/2.

Now let’s use the point they gave us to get “b” so we can finish the problem.

y= -1/2x + b

plug in (-8,0) so -8 for x and 0 for y

0 = -1/2(-8) + b

0 = 4 + b

b = -4

done!