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What is the equation of the line that is parallel to the given line and passes through the point (12, −2)?

A. y = -6/5x + 10
B. y = -6/5x + 12
C. y = –5/6x – 10
D. y = 5/6x – 12

What is the equation of the line that is parallel to the given line and passes through the point 12 2 A y 65x 10 B y 65x 12 C y 56x 10 D y 56x 12 class=

Respuesta :

altavistard

Answer:

D. y = 5/6x – 12

Step-by-step explanation:

Our first step is to determine the slope of the given line.  As we move from (0, -4) to (12, 6), x increases by 12 and y increases by 10.  Thus, the slope is

m = rise/run = 10/12, or m = 5/6.

Answer option D is the only one that has the same slope.  Thus, D is the answer.

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