Question

Find the equation of the line that is parallel to Y = x -3 and contains the point (3,-2)

Answer 1

Given:

The equation of the line is

`y=x-3`

Required:

Find the equation of the line that is parallel to the given line and contains the point (3,-2).

Step-by-step explanation:

The given equation of the line is

`y=x-3`

Compare the equation with the equation

`y=mx+c`

The slope of the line m = 1.

Since the slope of the parallel lines is equal.

The equation of the line that is parallel to the given line is:

`y=x+b`

This line contains the point (3,-2).

`\begin{gathered} -2=3+b \\ b=-5 \end{gathered}`

Thus the equation of the parallel line is:

`y=x-5`

Final Answer: