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03-06-2021
Mathematics

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The equation of the line that passes through the point (1, 2) and is parallel to the line 3x + 4y = 12.

The equation of the line that passes through the point 1 2 and is parallel to the line 3x 4y 12 class=

Respuesta :

mckenziep76 mckenziep76

04-06-2021

Answer:

Step-by-step explanation:

We first turn 3x+4y=12 into standard form:

4y=-3x+12

y=-3/4x+3

By knowing the 2nd line is parallel to the first, the slopes are the same:

y=-3/4x+b

Plugging in (5,4) into the equation:

4=-15/4+b

b=1/4

Final equation=y=-3/4+1/4.

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