Question

What is the equation of the line described below written in slope-intercept form? the line passing through point (2, 4), parallel to the line whose equation is y = x

Answer 1

The slope of
`y=x` is 1, so the slope of the other line is also 1.

We have

`y=x+b`
To find
`b`, we plug in
`(2, 4)`:

`4=2+b`

`\rightarrow b=2`

So the equation is
`y=x+2`