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.

Question

asked Nov 4, 2023 177k views

1 Answer

Tushant · Answer 1 · 2023-11-09T22:10:18+0000

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:

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