Question

What is the equation of a set of points equidistant from the lines y = 5 and x = –4?
x + y = –1
x – y = –1
x + y = 1
–x + y = –1

Answer 1

Given:

The lines y = 5 and x = –4

To find:

What is the equation of a set of points equidistant from the lines y = 5 and x = –4?

Solution:

From given, we have,

The lines y = 5 and x = –4

The given options should satisfy the above values.

x + y = –1

(-4) + 5 = 1 ≠ -1

x – y = –1

(-4) - 5 = - 9 ≠ -1

x + y = 1

(-4) + 5 = 1 = 1

–x + y = –1

- (-4) + 5 = 4 + 5 = 9 ≠ 1

Therefore, x + y = 1  is correct.