Answer:
The answer is: B. x + 2y = 8
Step-by-step explanation:
The given line passes through points (-4, 0) and (4, -4). Find the slope:
m = y - y1 / (x - x1)
m = 0 - (-4) / -4 - 4
m = 4/-8
m = 4/-8 = -1/2.
Parallel lines use the same slope. Find a line parallel to the given line passing through point (2,3). Use the point slope form of the equation and solve for y:
y - y1 = m(x - x1)
y - 3 = -1/2(x - 2)
y - 3 = -1/2x + 1
y = -1/2x + 1 + 3
y = -1/2x + 4
Multiply by 2 to put the equation in the standard form:
2y = -x + 8
x + 2y = 8
Hope this helps! Have an Awesome day!! :-)
