Question

6. a. Name a pair of equations that have exactly one point of intersection. How do you know?

b. Name a pair of equations that have no points of intersection. How do you know?

c. Name a pair of equations that have infinite points of intersection. How do you know?
No links or I will report! Stop reporting this question please!

Answer 1

A system of linear equations will have exactly one point of intersection, for example:

2x+y=5

-x+y=2

However, a system of linear equations with no solution will have no points of intersection, for example:

-4x+10y=6

2x-5y=3

Sorry about c. though I'm confused on how a pair of equations can have infinite points of intersection unless x or y equals all real numbers which could happen if x or y both equaled all real numbers maybe

And the point of interesection for the system of equations in the problem you attached as an image is (2,-1)

I attached a photo below, and one of how to graph it