Question

The graph of a system of equations will intersect at more than 1 point.

A) Always
B) Sometimes
C) Never

Answer 1

The answer is B

Perpendicular lines will only cross once,

Parallel lines will never cross

And a parabola and a line may cross twice

So, there is no guarentee of any situation, although all are possible, so the correct answer is sometimes.

Answer 2

B) Sometimes

Explanation:

A system of equations can intersect at no points; this is when the lines are parallel, which means they have the same slope and different y-intercept.

A system of equations can intersect at one point; this is when the lines have different slopes.

A system of equations can intersect in infinitely many points; this is when the graphs overlay one another, which means they are graphs of the same line. The two equations would equal the same thing.