Question

Find the equation of a line that is parallel to the line x equals negative 1x=−1 and contains the point left parenthesis negative 2 comma 1 right parenthesis .

Answer 1

The equation of the line is given as
`y-x=-1`

A straight line equation is given in the form
`y=mx+c` where
`m` is the gradient and
`c` is the y-interest.

We need to rearrange
`y-x=-1` to make
`y` the subject.

`y= x-1` ⇒ from here we can read the gradient and the y-intercept. The gradient,
`m=1` and
`c=-1`.

A line that is parallel to
`y=x-1` will have the same gradient,
`m=1` but different y-intercept. One example of equation of a line that is parallel to
`y=x-1` is
`y=x+3`