Question

What is the equation for the line that goes through `(2,14)` and parallel to `y=-1/2x+2`?

Answer 1

`y=-1/2x+15`

Explanation:

Two lines being parallel means that they have the same slope. Therefore, the slopes must both be `-1/2`.

When a line goes through a point, it has a certain x and y coordinate.

That means that you can solve for b (remember, the general equation of a line is `y=mx+b`) by plugging x and y into the equation.

Given point `(2,14) and m= -1/2`
`(14)=-1/2*(2)+b`
`14=-1+b`
`b=15`

So, the equation of the parallel line is `y=-1/2x+15`