Question

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

y=5x+10; (2,14)


y = 1/5x+4
y = 5x+4
y = -1/5x - 4
y=5x-68

Answer 1

Y = 5x+4. The slope is the same, 5, making them parallel, and when you plug in 2 for x you get 14

Answer 2

`y = 5x+4`

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`