Question

The points (3,2) and (-2,-3) are solutions to a system of two linear equations. What MUST be true about the two linear equations?

A. The equations create perpendicular line
B. The equations create the same line
C. The equations create parallel lines
D. The equations create horizontal lines

PLEASE HELP ♡

Answer 1

B. The equations create the same line

Explanation:

A system of two linear equations have either 0, 1 or infinite solutions.

Since you have 2 solutions, there have to be infinitely many more. That means you have written the same line twice. The solution is B.

Alternatively, you can think that given two points, there is one and only one line that passes through both.