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Lisa [10]
3 years ago
7

Write an equation for the line that is parallel to the given line and passes through the given point

Mathematics
2 answers:
Lana71 [14]3 years ago
8 0
Y = 5x+4. The slope is the same, 5, making them parallel, and when you plug in 2 for x you get 14
victus00 [196]3 years ago
3 0

Answer:

y = 5x+4

Step-by-step explanation:

For this case we have the following equation:

y = 5x +10

And we want a line parallel to this one that passes thourgh the point (2,14). In order to satisfy this we need that condition:

m_1 = m_2 =5

Where m_1 = 5 on this case for the original slope, and if we solve for m_2 we got:

m_2 = 5

And now since we have the new slope we can solve for the value of b like this:

14 = 5*(2) + b

And if we solve for b we got:

b = 14- 10= 4

And then our equation parallel is given by:

y = 5x+4

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