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

(-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 = 4multiply by 2

x + 2y = 8 <== ur parallel line

D: 2x + y = 8

Step-by-step explanation:

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