Question

Consider the line that passes through the point P(-1,-1) and is parallel to the line x-y=7. Write the point slope equation of the line. Use exact values.​

Answer 1

Answer: y=x

Explanation:

`x-y=7\\x-y+y=7+y\\x=7+y\\x-7=7+y-7\\x-7=y`

The line that parallel to the line x-y=7 is:

`y=x+b`

The line that passes through the point P(-1,-1), hence:

`-1=-1+b\\-1+1=-1+b+1\\0=b\\Thus,\\y=x+0\\y=x`