Question

how can you tell just by looking at two given equations whether they must have a point of intersection?

Answer 1

the two variables in the equations will have the same value.

Explanation:

So for example, if we have two lines that have the following equations (in slope-intercept form):. y = 3x-3. y = 2.3x+4. At the point of intersection, they will both have the same value.