Question

How do you write an equation of a line given (0,4) & is parallel to y=3x-7?

Answer 1

`y=3x+4`

Explanation:

To solve this problem, we'll need to use our friend the point slope formula. (You'll use this formula in more advanced math more often then you think!)

Point slope formula is: `y-y_1=m(x-x_1)`

`x_1` and `y_1` are the x and y values for the coordinate it gives you and `m` is your slope which is attained from the equation it gives.

If it's parallel to the line, then it must have an equal slope. The line is given in `y=mx+b` form so we find that the slope (m) is 3.

Looking at our coordinates the x coordinate is 0 and the y coordinate is 4 so that gives us `x_1=0` and `y_1=4` which is all we need to finish the problem.

`y-4=3(x-0)`

Now we solve for y by distributing the 3 on the right side and adding 4 to both sides.

`y=3x+4`