Question

Find an equation of the line through (3,7) and parallel to y=3x+2. Write in function notation.

Answer 1

Did you have any ideas on this problem so far? Is there a particular part that is causing trouble?

Answer 2

I'd like to know how to set it up for solving.

Answer 3

We know the equation is of a line. We also know that the line we want is parallel to the line y = 3x + 2. So that gives us information about the slope, right?

Combined with the point we are given, we can use point-slope form to set up the equation.

Answer 4

What's the point-slope formula again?
Pardon, I'm a bit fried tonight.

Answer 5

\( y - y_0 = m(x - x_0) \)

Where \( (x_0, y_0 ) \) is your given point.
Although once we find this equation, I think we want to change out y = f(x) for the function notation.

Answer 6

So, y-7=3(x-3)?

Answer 7

Then distribute?

Answer 8

Yup, that looks good.

Answer 9

And yes you could distribute. Then add the 7 to both sides and you'd have your line equation.

y = f(x) would finish off the problem

Answer 10

Okay, thank you!

Answer 11

You're welcome! :)