Answer: 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!
An equation of the line that passes through the point (-8,0) and is
parallel to the line x + 2y = 14 is 2
The equation of a line in point slope form is expressed as:
Given the equation
x + 2y = 14
2y = -x + 14
y = -1/2x + 7
Slope of the line is -1/2
Substitute the point (-8, 0) and m = -1/2 into the formula
y - 0 = -1/2 (x+8)
2y = -x - 8
2y + x = -8
Hence an equation of the line that passes through the point (-8,0) and is
parallel to the line x + 2y = 14 is 2y+ x = -8
Learn more on equation of a line here: https://brainly.com/question/19417700
