Question

So yeah if someone can help me with

Answer 1

Answer:

y = x - 5

Explanation:

The equation of the line parallel to the line is .

That is, equations of parallel lines differ only by constant.

The given equation is

This is written as

Therefore, the equation of the line parallel to this line is given by

The value of c is determined using the point given.

Substituting the point (3,-2) we get:

Therefore, the equation of the line becomes y = x - 5.

Explanation:

Answer 2

y = x - 5

Explanation:

The equation of the line parallel to the line
`$ ax + by + c_1 = 0$` is
`$ ax + by + c_2 = 0 $`.

That is, equations of parallel lines differ only by constant.

The given equation is
`$ y = x + 4 $`

This is written as
`$ x - y + 4 = 0 $`

Therefore, the equation of the line parallel to this line is given by
`$ x - y + c = 0 $`

The value of c is determined using the point given.

Substituting the point (3,-2) we get:

`$ 3 + 2 + c = 0$`

`$ \implies c = -5 $`

Therefore, the equation of the line becomes y = x - 5.