What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

a. x + 2y = 4

b. x + 2y = 8

c. 2x + y = 4

d. 2x + y = 8

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!! :-)

9 x 8 divided by (5-3)=36