Question

What is the equation of a line PARALLEL to y = 1/3x – 4 that passes through (9, 8)?

Answer 1

`y=(1)/(3) x+5`

Explanation:

We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:

`y=mx+b`

Plugging in the values we know:

`8=(1)/(3) (9)+b`

We solve for
`b` and get:

`b=5`.

So, the equation of our new line must be:

`y=(1)/(3) x+5`