Question

Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?
They intersect at one point.
They intersect at two points.
They have the same slope.
They have the same y-intercept.

Answer 1

If a system of two linear equations has one solution, it means that the graphs of the two equations intersect at exactly one point. This implies that the lines are not parallel and therefore have different slopes.

So, the correct statement is:
**They intersect at one point.**