Question

What is the equation? Picture attatched

Answer 1

y = x - 5

Explanation:

Equation of any two parallel lines differ only by a constant.

Therefore, the equation of the line parallel to
`$ ax + by + c_1 = 0$` would be ax + by + c₂ = 0.

The equation of the line parallel to
`$ y = x - 3 $` should be equal to

x - y + c = 0.

Since, a point intersecting the line is given this means that the line passes through this point. This can be used to determine the value of c.

⇒ 3 -(-2) + c = -5 + c = 0

⇒ c = - 5.

Substituting we get: x - y - 5 = 0

⇒ y = x - 5 is the required equation of the line.