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Darina [25.2K]
3 years ago
8

What is the equation of the line that is

Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

y = m_{AB}(X-2)-1

Step-by-step explanation:

When two lines are parallel means that their slopes are equal. Therefore the line AB will have same slope to a parallel second line, m_{AB} = m_{2}.

To obtain the slope from the line AB, we need two points, so the general equation will be:

m_{AB} = \frac{y_{B} -y_{A}  }{x_{B}-x_{A}  }

The typical equation of a line is written as y = mx + b

The second line will pass through point (2, -1), so we can substitute:

y2 = mX2 + b

-1 = -1=m_{AB} (2)+b(2) + b

then the interception is b=-m_{AB} -1

Now to obtain a general equation for the second parallel line will be:

y =  m_{AB} X + b

y =  m_{AB} X - m_{AB}(2)-1

Finally we get:

y =  m_{AB} (x-2)-1

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