Question

What is the equation of the line that passes through the point (5,9) and is parallel to the line y = 3x + 7?

Answer 1

I found:
`y=3x-6`

Explanation:

You can use the relationship:
`y-y_0=m(x-x_0)`
Where:
`m` is the slope
`x_0, y_0` are the coordinates of your point:
In your case the slope of the parallel line must be the same as the one of your given line which is: `m=3` (the coefficient of `x`).
So you get:
`y-9=3(x-5)`
`y=3x-15+9`
`y=3x-6`

Graphically:

(red line is the parallel)