Question

Which statements about a line and its inverse are true? Select all that apply.
1.Their slopes will always be the opposite reciprocal of each other.
2.The inverse of any line in the form y=-x+n, where n is any real number, will always be defined by the same equation.
3.If their slopes are not equal, the lines will intersect each other on the line y=x
4.They may be parallel to each other.
5.Their slopes will always be the reciprocal of each other.

Answer 1

Answer:

Statement 3,4 and 5 are true.

Step-by-step explanation:

(1) Their slopes will always be the opposite reciprocal of each other.

False, Their slopes are reciprocal to each other.

(2) The inverse of any line in the form y=-x+n, where n is any real number, will always be defined by the same equation.

False, in the case of inverse the constant term takes the opposite sign.

(3) If their slopes are not equal, the lines will intersect each other on the line y=x

True, the Inverse of linear functions will always intersect each other on the line y=x.

(4) They may be parallel to each other.

True, in the case of y=x+n it is true.

(5) Their slopes will always be the reciprocal of each other.

True, Their slopes are always reciprocal to each other.

To know more about it, please refer to the link:

Hey, wanna pair our account on Brainly so we can share the perks? https://brainly.com/invite/f79a5c1f6e65fb5b41d0f190420ef01b?utm_source=invite&utm_medium=link&utm_campaign=bfp_qpage_box&utm_term=parent