Question

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

x + 2y = 4

x + 2y = 8
2x + y = 4
2x + y = 8

Answer 1

B.) x + 2y = 8

Answer 2

(-4,0)(4,-4)
slope(m) = (-4 - 0) / (4 - (-4) = -4/(4 + 4) = -4/8 = -1/2. A parallel line will have the same slope.

y = mx + b
slope(m) = -1/2
(2,3)...x = 2 and y = 3
now we sub and find b, the y int
3 = -1/2(2) + b
3 = -1 + b
3 + 1 = b
4 = b

y = -1/2x + 4
1/2x + y = 4....multiply by 2
x + 2y = 8 <== ur parallel line